6(x+7)-8x=32

Solution for 6(x+7)-8x=32 equation:

Simplifying
6(x + 7) + -8x = 32

Reorder the terms:
6(7 + x) + -8x = 32
(7 * 6 + x * 6) + -8x = 32
(42 + 6x) + -8x = 32

Combine like terms: 6x + -8x = -2x
42 + -2x = 32

Solving
42 + -2x = 32

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + -2x = 32 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 32 + -42
-2x = 32 + -42

Combine like terms: 32 + -42 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5