Answer the following problems. make sure to show your work! 1.) 7x + 2 = 3x + 2 2.) 3(2x - 4) = 2x + 5 3.) 12 + 4(x + 1) = 3 - 12x 4.) 23x + 7 = 2(15x - 14x) - 56

1)   7x + 2 = 3x + 2

Subtract 3x from both sides.

4x + 2 = 2

Subtract 2 from both sides.

4x = 0

Divide both sides by 4.

x = 0

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

Multiply everything in the parenthesis by 3.

6x - 12 = 2x + 5

Add 12 to both sides.

6x = 2x + 17

Subtract 2x from both sides.

4x = 17

Divide 4 on both sides.

x = 17/4

3) 12 + 4(x + 1) = 3 - 12x

Multiply everything in the parenthesis by 4.

12 + 4x + 4 = 3 - 12x

Combine like terms.

16 + 4x = 3 - 12x

Add 12x to both sides.

16 + 16x = 3

Subtract 16 from both sides.

16x = -13

Divide 16 on both sides.

-13/16 = x

4) 23x + 7 = 2 (15x - 14x) - 56

Solve what is in the parenthesis.

23x + 7 = 2 (x) - 56

23x + 7 = 2x - 56

Subtract 2x from both sides.

21x + 7 = -56

Subtract 7 from both sides.

21x = -63

Divide 21 on both sides.

x = -3

Hope this helps!