x+6=-4x-5

Solution for x+6=-4x-5 equation:

Simplifying
x + 6 = -4x + -5

Reorder the terms:
6 + x = -4x + -5

Reorder the terms:
6 + x = -5 + -4x

Solving
6 + x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + x + 4x = -5 + -4x + 4x

Combine like terms: x + 4x = 5x
6 + 5x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 5x = -5 + 0
6 + 5x = -5

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

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

Combine like terms: -5 + -6 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2