3(2x-6)-3=3(x-3)+15

Solution for 3(2x-6)-3=3(x-3)+15 equation:

Simplifying
3(2x + -6) + -3 = 3(x + -3) + 15

Reorder the terms:
3(-6 + 2x) + -3 = 3(x + -3) + 15
(-6 * 3 + 2x * 3) + -3 = 3(x + -3) + 15
(-18 + 6x) + -3 = 3(x + -3) + 15

Reorder the terms:
-18 + -3 + 6x = 3(x + -3) + 15

Combine like terms: -18 + -3 = -21
-21 + 6x = 3(x + -3) + 15

Reorder the terms:
-21 + 6x = 3(-3 + x) + 15
-21 + 6x = (-3 * 3 + x * 3) + 15
-21 + 6x = (-9 + 3x) + 15

Reorder the terms:
-21 + 6x = -9 + 15 + 3x

Combine like terms: -9 + 15 = 6
-21 + 6x = 6 + 3x

Solving
-21 + 6x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-21 + 6x + -3x = 6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-21 + 3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + 3x = 6 + 0
-21 + 3x = 6

Add '21' to each side of the equation.
-21 + 21 + 3x = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = 6 + 21
3x = 6 + 21

Combine like terms: 6 + 21 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9