7(6+x)=6(x-6)

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

Simplifying
7(6 + x) = 6(x + -6)
(6 * 7 + x * 7) = 6(x + -6)
(42 + 7x) = 6(x + -6)

Reorder the terms:
42 + 7x = 6(-6 + x)
42 + 7x = (-6 * 6 + x * 6)
42 + 7x = (-36 + 6x)

Solving
42 + 7x = -36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
42 + 7x + -6x = -36 + 6x + -6x

Combine like terms: 7x + -6x = 1x
42 + 1x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
42 + 1x = -36 + 0
42 + 1x = -36

Add '-42' to each side of the equation.
42 + -42 + 1x = -36 + -42

Combine like terms: 42 + -42 = 0
0 + 1x = -36 + -42
1x = -36 + -42

Combine like terms: -36 + -42 = -78
1x = -78

Divide each side by '1'.
x = -78

Simplifying
x = -78