5x-6=7(x+6)

Solution for 5x-6=7(x+6) equation:

Simplifying
5x + -6 = 7(x + 6)

Reorder the terms:
-6 + 5x = 7(x + 6)

Reorder the terms:
-6 + 5x = 7(6 + x)
-6 + 5x = (6 * 7 + x * 7)
-6 + 5x = (42 + 7x)

Solving
-6 + 5x = 42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 5x + -7x = 42 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-6 + -2x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -2x = 42 + 0
-6 + -2x = 42

Add '6' to each side of the equation.
-6 + 6 + -2x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 42 + 6
-2x = 42 + 6

Combine like terms: 42 + 6 = 48
-2x = 48

Divide each side by '-2'.
x = -24

Simplifying
x = -24