5x+6=6(x-9)

Solution for 5x+6=6(x-9) equation:

Simplifying
5x + 6 = 6(x + -9)

Reorder the terms:
6 + 5x = 6(x + -9)

Reorder the terms:
6 + 5x = 6(-9 + x)
6 + 5x = (-9 * 6 + x * 6)
6 + 5x = (-54 + 6x)

Solving
6 + 5x = -54 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 5x + -6x = -54 + 6x + -6x

Combine like terms: 5x + -6x = -1x
6 + -1x = -54 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -1x = -54 + 0
6 + -1x = -54

Add '-6' to each side of the equation.
6 + -6 + -1x = -54 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -54 + -6
-1x = -54 + -6

Combine like terms: -54 + -6 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60