6(x+1)=5-7x

Solution for 6(x+1)=5-7x equation:

Simplifying
6(x + 1) = 5 + -7x

Reorder the terms:
6(1 + x) = 5 + -7x
(1 * 6 + x * 6) = 5 + -7x
(6 + 6x) = 5 + -7x

Solving
6 + 6x = 5 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 6x + 7x = 5 + -7x + 7x

Combine like terms: 6x + 7x = 13x
6 + 13x = 5 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 13x = 5 + 0
6 + 13x = 5

Add '-6' to each side of the equation.
6 + -6 + 13x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 5 + -6
13x = 5 + -6

Combine like terms: 5 + -6 = -1
13x = -1

Divide each side by '13'.
x = -0.07692307692

Simplifying
x = -0.07692307692