3(5x-2)-6x=3(x+2)

Solution for 3(5x-2)-6x=3(x+2) equation:

Simplifying
3(5x + -2) + -6x = 3(x + 2)

Reorder the terms:
3(-2 + 5x) + -6x = 3(x + 2)
(-2 * 3 + 5x * 3) + -6x = 3(x + 2)
(-6 + 15x) + -6x = 3(x + 2)

Combine like terms: 15x + -6x = 9x
-6 + 9x = 3(x + 2)

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

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

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

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

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

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

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

Divide each side by '6'.
x = 2

Simplifying
x = 2