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

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

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

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

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

Solving
-6 + -6x = 10 + 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 = 10 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-6 + -8x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -8x = 10 + 0
-6 + -8x = 10

Add '6' to each side of the equation.
-6 + 6 + -8x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 10 + 6
-8x = 10 + 6

Combine like terms: 10 + 6 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2