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

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

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

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

Reorder the terms:
-6 + 3x = -6 + 3(-2 + 3x)
-6 + 3x = -6 + (-2 * 3 + 3x * 3)
-6 + 3x = -6 + (-6 + 9x)

Combine like terms: -6 + -6 = -12
-6 + 3x = -12 + 9x

Solving
-6 + 3x = -12 + 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 + 3x + -9x = -12 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-6 + -6x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -6x = -12 + 0
-6 + -6x = -12

Add '6' to each side of the equation.
-6 + 6 + -6x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = -12 + 6
-6x = -12 + 6

Combine like terms: -12 + 6 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1