6(x+1)=2(6-5x)-13

Solution for 6(x+1)=2(6-5x)-13 equation:

Simplifying
6(x + 1) = 2(6 + -5x) + -13

Reorder the terms:
6(1 + x) = 2(6 + -5x) + -13
(1 * 6 + x * 6) = 2(6 + -5x) + -13
(6 + 6x) = 2(6 + -5x) + -13
6 + 6x = (6 * 2 + -5x * 2) + -13
6 + 6x = (12 + -10x) + -13

Reorder the terms:
6 + 6x = 12 + -13 + -10x

Combine like terms: 12 + -13 = -1
6 + 6x = -1 + -10x

Solving
6 + 6x = -1 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + 6x + 10x = -1 + -10x + 10x

Combine like terms: 6x + 10x = 16x
6 + 16x = -1 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 16x = -1 + 0
6 + 16x = -1

Add '-6' to each side of the equation.
6 + -6 + 16x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = -1 + -6
16x = -1 + -6

Combine like terms: -1 + -6 = -7
16x = -7

Divide each side by '16'.
x = -0.4375

Simplifying
x = -0.4375