6(x+1)=-2(x+36)

Solution for 6(x+1)=-2(x+36) equation:

Simplifying
6(x + 1) = -2(x + 36)

Reorder the terms:
6(1 + x) = -2(x + 36)
(1 * 6 + x * 6) = -2(x + 36)
(6 + 6x) = -2(x + 36)

Reorder the terms:
6 + 6x = -2(36 + x)
6 + 6x = (36 * -2 + x * -2)
6 + 6x = (-72 + -2x)

Solving
6 + 6x = -72 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 6x + 2x = -72 + -2x + 2x

Combine like terms: 6x + 2x = 8x
6 + 8x = -72 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 8x = -72 + 0
6 + 8x = -72

Add '-6' to each side of the equation.
6 + -6 + 8x = -72 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -72 + -6
8x = -72 + -6

Combine like terms: -72 + -6 = -78
8x = -78

Divide each side by '8'.
x = -9.75

Simplifying
x = -9.75