2x+6=(x-5)4

Solution for 2x+6=(x-5)4 equation:

Simplifying
2x + 6 = (x + -5) * 4

Reorder the terms:
6 + 2x = (x + -5) * 4

Reorder the terms:
6 + 2x = (-5 + x) * 4

Reorder the terms for easier multiplication:
6 + 2x = 4(-5 + x)
6 + 2x = (-5 * 4 + x * 4)
6 + 2x = (-20 + 4x)

Solving
6 + 2x = -20 + 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 + 2x + -4x = -20 + 4x + -4x

Combine like terms: 2x + -4x = -2x
6 + -2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -2x = -20 + 0
6 + -2x = -20

Add '-6' to each side of the equation.
6 + -6 + -2x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -20 + -6
-2x = -20 + -6

Combine like terms: -20 + -6 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13