Question

1) 2-3(x+2)=5-2x. 2)3-5(x+1)=6-4x. 3)0.2-2(x+1)=0.4x. 4) 0.4x=0.4-2(x+2). 5)4x-5.5=5x-3(2x-1.5). 6)4-5(3x+2.5)=3x=9.5. 7)5(2=1.5x)-0.5x=24. 8). 3(0.5x-4)=8.5x=18

Answer 1

1)2-3(x+2)=5-2x
2-3x-6=5-2x
-3x+2x=5-2+6
-x=9
x=-9
2)3-5(x+1)=6-4x
3-5x-1=6-4x
-5x+4x=6-3+1
x=4
3)0.2-2(x+1)=0.4x
0.2-2x-2=0.4x
-2x-0.4x=2-0.2
-2.4x=1.8
x=-0.75
4)0.4x=0.4-2(x+2)
0.4x=0.4-2x-4
0.4x+2x=0.4-4
2.4x=-3.6
x=-1.5
5)4x-5.5=5x-3(2x-1.5)
4x-5.5=5x-6x+4.5
4x-5x+6x=4.5+5.5
5x=10
x=2

Answer 2

1) To solve the equation 2 - 3(x + 2) = 5 - 2x, we can start by simplifying both sides of the equation.

Expanding the left side of the equation, we get:

2 - 3x - 6 = 5 - 2x

Combining like terms, we have:

-3x - 4 = 5 - 2x

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by adding 3x to both sides:

-3x + 3x - 4 = 5 - 2x + 3x

Simplifying further, we have:

-4 = 5 + x

Now, let's isolate the constant term by moving it to the other side of the equation. We can do this by subtracting 5 from both sides:

-4 - 5 = 5 + x - 5

Simplifying, we have:

-9 = x

So the solution to the equation is x = -9.

2) To solve the equation 3 - 5(x + 1) = 6 - 4x, we can start by simplifying both sides of the equation.

Expanding the left side of the equation, we get:

3 - 5x - 5 = 6 - 4x

Combining like terms, we have:

-5x - 2 = 6 - 4x

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by adding 5x to both sides:

-5x + 5x - 2 = 6 - 4x + 5x

Simplifying further, we have:

-2 = 6 + x

Now, let's isolate the constant term by moving it to the other side of the equation. We can do this by subtracting 6 from both sides:

-2 - 6 = 6 + x - 6

Simplifying, we have:

-8 = x

So the solution to the equation is x = -8.

3) To solve the equation 0.2 - 2(x + 1) = 0.4x, we can start by simplifying both sides of the equation.

Expanding the left side of the equation, we get:

0.2 - 2x - 2 = 0.4x

Combining like terms, we have:

-2x - 1.8 = 0.4x

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by adding 2x to both sides:

-2x + 2x - 1.8 = 0.4x + 2x

Simplifying further, we have:

-1.8 = 2.4x

Now, let's isolate the x term by dividing both sides of the equation by 2.4:

-1.8 / 2.4 = 2.4x / 2.4

Simplifying, we have:

-0.75 = x

So the solution to the equation is x = -0.75.

4) To solve the equation 0.4x = 0.4 - 2(x + 2), we can start by simplifying both sides of the equation.

Expanding the right side of the equation, we get:

0.4x = 0.4 - 2x - 4

Combining like terms, we have:

0.4x = -3 - 2x

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by adding 2x to both sides:

0.4x + 2x = -3 - 2x + 2x

Simplifying further, we have:

2.4x = -3

Now, let's isolate the x term by dividing both sides of the equation by 2.4:

2.4x / 2.4 = -3 / 2.4

Simplifying, we have:

x = -1.25

So the solution to the equation is x = -1.25.

5) To solve the equation 4x - 5.5 = 5x - 3(2x - 1.5), we can start by simplifying both sides of the equation.

Expanding the right side of the equation, we get:

4x - 5.5 = 5x - 6x + 4.5

Combining like terms, we have:

4x - 5.5 = -x + 4.5

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by adding x to both sides:

4x + x - 5.5 = -x + x + 4.5

Simplifying further, we have:

5x - 5.5 = 4.5

Now, let's isolate the constant term by moving it to the other side of the equation. We can do this by adding 5.5 to both sides:

5x - 5.5 + 5.5 = 4.5 + 5.5

Simplifying, we have:

5x = 10

Now, let's isolate the x term by dividing both sides of the equation by 5:

5x / 5 = 10 / 5

Simplifying, we have:

x = 2

So the solution to the equation is x = 2.

6) To solve the equation 4 - 5(3x + 2.5) = 3x + 9.5, we can start by simplifying both sides of the equation.

Expanding the left side of the equation, we get:

4 - 15x - 12.5 = 3x + 9.5

Combining like terms, we have:

-15x - 8.5 = 3x + 9.5

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by adding 15x to both sides:

-15x + 15x - 8.5 = 3x + 15x + 9.5

Simplifying further, we have:

-8.5 = 18x + 9.5

Now, let's isolate the constant term by moving it to the other side of the equation. We can do this by subtracting 9.5 from both sides:

-8.5 - 9.5 = 18x + 9.5 - 9.5

Simplifying, we have:

-18 = 18x

Now, let's isolate the x term by dividing both sides of the equation by 18:

-18 / 18 = 18x / 18

Simplifying, we have:

-1 = x

So the solution to the equation is x = -1.

7) The equation 5(2 - 1.5x) - 0.5x = 24 can be simplified as follows:

Expanding the left side of the equation, we get:

10 - 7.5x - 0.5x = 24

Combining like terms, we have:

-8x + 10 = 24

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by adding 8x to both sides:

-8x + 8x + 10 = 24 + 8x

Simplifying further, we have:

10 = 24 + 8x

Now, let's isolate the constant term by moving it to the other side of the equation. We can do this by subtracting 24 from both sides:

10 - 24 = 24 + 8x - 24

Simplifying, we have:

-14 = 8x

Now, let's isolate the x term by dividing both sides of the equation by 8:

-14 / 8 = 8x / 8

Simplifying, we have:

-1.75 = x

So the solution to the equation is x = -1.75.

8) The equation 3(0.5x - 4) = 8.5x - 18 can be simplified as follows:

Expanding the left side of the equation, we get:

1.5x - 12 = 8.5x - 18

Next, let's isolate the x term by moving all the x terms to one side of the equation. We can do this by subtracting 1.5x from both sides:

1.5x - 1.5x - 12 = 8.5x - 1.5x - 18

Simplifying further, we have:

-12 = 7x - 18

Now, let's isolate the x term by moving the constant term to the other side of the equation. We can do this by adding 18 to both sides:

-12 + 18 = 7x - 18 + 18

Simplifying, we have:

6 = 7x

Now, let's isolate the x term by dividing both sides of the equation by 7:

6 / 7 = 7x / 7

Simplifying, we have:

x = 6/7

So the solution to the equation