7x+6(x-12)=32

Solution for 7x+6(x-12)=32 equation:

Simplifying
7x + 6(x + -12) = 32

Reorder the terms:
7x + 6(-12 + x) = 32
7x + (-12 * 6 + x * 6) = 32
7x + (-72 + 6x) = 32

Reorder the terms:
-72 + 7x + 6x = 32

Combine like terms: 7x + 6x = 13x
-72 + 13x = 32

Solving
-72 + 13x = 32

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '72' to each side of the equation.
-72 + 72 + 13x = 32 + 72

Combine like terms: -72 + 72 = 0
0 + 13x = 32 + 72
13x = 32 + 72

Combine like terms: 32 + 72 = 104
13x = 104

Divide each side by '13'.
x = 8

Simplifying
x = 8