6=4(x+6)+5x

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

Simplifying
6 = 4(x + 6) + 5x

Reorder the terms:
6 = 4(6 + x) + 5x
6 = (6 * 4 + x * 4) + 5x
6 = (24 + 4x) + 5x

Combine like terms: 4x + 5x = 9x
6 = 24 + 9x

Solving
6 = 24 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + -9x = 24 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -9x = 24 + 0
6 + -9x = 24

Add '-6' to each side of the equation.
6 + -6 + -9x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 24 + -6
-9x = 24 + -6

Combine like terms: 24 + -6 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2