Solve the following for x.

3 (x-4) - x+7 = (4x+9) + (x-32)

x = 6

Step-by-step explanation:

3 (x-4) - x+7 = (4x+9) + (x-32)

Distribute 3 through the parenthesis.

3x-12-x+7=4x+9 + (x-32)

When there is a "+" in front of the parenthesis the expression remains the same.

3x-12-x+7 = 4x+9+x-32

Collect the like terms.

2x-12+7 = 4x+9+x-32

Calculate the sum.

2x-5=4x+9+x-32

Collect the like terms.

2x-5 = 5x+9-32

Calculate the difference.

2x-5 = 5x-23

Move the variable to the left side and change the sign.

2x-5x+5 = - 23

Move the constant to the right side and change its sign.

2x-5x = - 23+5

Collect the like terms.

-3x=-18

Divide both sides of the equation by - 3.

-3x = - 18

-3 - 3

Solution:

x = 6