x-6=3(2x)

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

Simplifying
x + -6 = 3(2x)

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

Remove parenthesis around (2x)
-6 + x = 3 * 2x

Multiply 3 * 2
-6 + x = 6x

Solving
-6 + x = 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 + x + -6x = 6x + -6x

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

Combine like terms: 6x + -6x = 0
-6 + -5x = 0

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2