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

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

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

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

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

Solving
6 + 5x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 5x + x = -2 + -1x + x

Combine like terms: 5x + x = 6x
6 + 6x = -2 + -1x + x

Combine like terms: -1x + x = 0
6 + 6x = -2 + 0
6 + 6x = -2

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

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

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

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333