Question

1)4x - 11=2(x-5,5) 2)4x+11=3x-(5x-11) 3)2+5-(x-3)=3x+8 4)5-3(5-2x)=6x+3x+8

Answer 1

1)4x-11=2x-11

4x-2x=-11+11

2x=0

x=0

2)4x+11=3x-5x+11

4x+2x=11-11

6x=0

x=0

3)7-x+3=3x+8

-x-3x=8-10

-4x=-2

x=-2/-4=0.5

4)5-15+6x=9x+8

-10+6x-9x=8

-3x=8+10

x=-6

Answer 2

1. To solve for x in the equation 4x - 11=2(x-5.5), we can start by distributing the 2 on the right-hand side:

4x - 11 = 2x - 11

Then we can simplify by adding 11 to both sides:

4x = 2x - 0.5

Finally, we can isolate x by subtracting 2x from both sides:

2x = -0.5

x = -0.25

Therefore, the solution is x = -0.25.

2. To solve for x in the equation 4x + 11 = 3x - (5x - 11), we can start by distributing the negative sign:

4x + 11 = 3x - 5x + 11

Then we can simplify by combining like terms:

4x + 11 = -2x + 11

Subtracting 11 from both sides, we get:

4x = -2x

Adding 2x to both sides, we get:

6x = 0

Dividing both sides by 6, we get:

x = 0

Therefore, the solution is x = 0.

3. To solve for x in the equation 2+5-(x-3)=3x+8, we can start by simplifying the left-hand side by distributing the negative sign:

7 - x + 3 = 3x + 8

Simplifying further, we can combine like terms:

10 - x = 3x + 8

Adding x to both sides, we get:

10 = 4x + 8

Subtracting 8 from both sides, we get:

2 = 4x

Dividing both sides by 4, we get:

x = 0.5

Therefore, the solution is x = 0.5.

4. To solve for x in the equation 5-3(5-2x)=6x+3x+8, we can start by simplifying the left-hand side:

5 - 15 + 6x = 9x + 8

Simplifying further, we can combine like terms:

-10 + 6x = 9x + 8

Subtracting 6x from both sides, we get:

-10 = 3x + 8

Subtracting 8 from both sides, we get:

-18 = 3x

Dividing both sides by 3, we get:

x = -6

Therefore, the solution is x = -6.