Question

4(x - 3) - 3(x + 2) = -19; 2) 2x + 1 + 3(x - 2) = 14;3) -507 - x) - 4(x - 8) = 3;4) 2(x - 4) - 5(x - 6) = 1.​

Answer 1

1) 4(х - 3) - 3(х + 2) = - 19

4х - 12 - 3х - 6= - 19

х = - 37

2) 2х + 1 +3(х- 2) =14

2х + 1 + 3х - 6= 14

5х = 19

х = 3,8

4) 2( х-4) - 5(х-6)=1

2х - 8 - 5х+30=1

-3х= - 22

х = 7 1/3

Answer 2

Let's solve each of these equations step by step:

1. 4(x - 3) - 3(x + 2) = -19

First, distribute the numbers outside the parentheses:

4x - 12 - 3x - 6 = -19

Now, combine like terms on both sides of the equation:

(4x - 3x) + (-12 - 6) = -19

x - 18 = -19

Now, isolate x by adding 18 to both sides of the equation:

x - 18 + 18 = -19 + 18

x = -1

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

2. 2x + 1 + 3(x - 2) = 14

First, distribute the 3 on the left side:

2x + 1 + 3x - 6 = 14

Combine like terms on the left side:

(2x + 3x) + (1 - 6) = 14

5x - 5 = 14

Now, isolate x by adding 5 to both sides of the equation:

5x - 5 + 5 = 14 + 5

5x = 19

Finally, divide both sides by 5 to find the value of x:

5x/5 = 19/5

x = 19/5

So, the solution to the second equation is x = 19/5 or x = 3.8.

3. -5(7 - x) - 4(x - 8) = 3

First, distribute the numbers outside the parentheses:

-5(7) + 5x - 4x + 32 = 3

Now, combine like terms on both sides of the equation:

(-5 + 5)x + (32 - 35) = 3

0x - 3 = 3

Since 0x is always 0, we have:

-3 = 3

This equation has no solution because it leads to a contradiction. There is no value of x that satisfies this equation.

4. 2(x - 4) - 5(x - 6) = 1

First, distribute the numbers outside the parentheses:

2x - 8 - 5x + 30 = 1

Now, combine like terms on both sides of the equation:

(2x - 5x) + (-8 + 30) = 1

-3x + 22 = 1

Now, isolate x by subtracting 22 from both sides of the equation:

-3x + 22 - 22 = 1 - 22

-3x = -21

Finally, divide both sides by -3 to find the value of x:

-3x / -3 = -21 / -3

x = 7

So, the solution to the fourth equation is x = 7.