Question

I need help plz help thy. First answer get brainiest

Answer 1

Hello!

$\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}$

We can go through each equation to solve:

1.

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

Distribute the coefficient outside of the parenthesis:

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

Simplify:

x + 3 = 4x - 4 + 2

x + 3 = 4x - 2

Subtract x from both sides:

3 = 3x - 2

Add 2 to both sides:

5 = 3x

Divide both sides by 3:

5/3 = x. This is not the answer.

2.

2x - 8 = 7 - 3x

Add 3x to both sides:

5x - 8 = 7

Add 8 to both sides:

5x = 15

Divide both sides by 5:

5x/5 = 15/5

x = 3. This is an answer.

3.

3(x + 2) = 14 - x

Distribute:

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

3x + 6 = 14 - x

Add x to both sides:

4x + 6 = 14

Subtract 6 from both sides:

4x = 8

Divide both sides by 4:

4x/4 = 8/4

x = 2. This is not an answer.

4.

4(x - 1) = x + 5

Distribute:

4x - 4 = x + 5

Subtract x from both sides:

3x - 4 = 5

Add 4 to both sides:

3x = 9

Divide both sides by 3:

3x/3 = 9/3

x = 3. This is an answer.

5.

5 - 2(x + 1) = x

Distribute:

5 - 2x - 2 = x

Simplify:

3 - 2x = x

Add 2x to both sides:

3 = 3x

Divide both sides by 3:

3/3 = 3x/3

x = 1. This is not an answer.

6.

6(x - 4) = 2x

Distribute:

6x - 24 = 2x

Subtract 6x from both sides:

-24 = -4x

Divide both sides by -4:

-24/(-4) = -4x/(-4)

x = 6. This is not an answer.

Answer 2

Answer:

2x - 8 = 7 - 3x

4(x -1) = x + 5

Step-by-step explanation:

2) 2x - 8 = 7 - 3x

   2x + 3x - 8 = 7

       5x -  8 = 7

              5x = 7 + 8

              5x = 15

                 x = 15/5

                x = 3

4) 4(x -1) = x + 5

   4x - 4 = x + 5

4x - 4 - x = 5

     3x - 4 = 5

           3x = 5 + 4

           3x = 9

             x = 9/3

            x = 3