6x+6=8x-3

Solution for 6x+6=8x-3 equation:

Simplifying
6x + 6 = 8x + -3

Reorder the terms:
6 + 6x = 8x + -3

Reorder the terms:
6 + 6x = -3 + 8x

Solving
6 + 6x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 6x + -8x = -3 + 8x + -8x

Combine like terms: 6x + -8x = -2x
6 + -2x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -2x = -3 + 0
6 + -2x = -3

Add '-6' to each side of the equation.
6 + -6 + -2x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -3 + -6
-2x = -3 + -6

Combine like terms: -3 + -6 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5