6(1+x)=5(x-6)

Solution for 6(1+x)=5(x-6) equation:

Simplifying
6(1 + x) = 5(x + -6)
(1 * 6 + x * 6) = 5(x + -6)
(6 + 6x) = 5(x + -6)

Reorder the terms:
6 + 6x = 5(-6 + x)
6 + 6x = (-6 * 5 + x * 5)
6 + 6x = (-30 + 5x)

Solving
6 + 6x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 6x + -5x = -30 + 5x + -5x

Combine like terms: 6x + -5x = 1x
6 + 1x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 1x = -30 + 0
6 + 1x = -30

Add '-6' to each side of the equation.
6 + -6 + 1x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -30 + -6
1x = -30 + -6

Combine like terms: -30 + -6 = -36
1x = -36

Divide each side by '1'.
x = -36

Simplifying
x = -36