3(x-2)-x=2(2+1)

Solution for 3(x-2)-x=2(2+1) equation:

Simplifying
3(x + -2) + -1x = 2(2 + 1)

Reorder the terms:
3(-2 + x) + -1x = 2(2 + 1)
(-2 * 3 + x * 3) + -1x = 2(2 + 1)
(-6 + 3x) + -1x = 2(2 + 1)

Combine like terms: 3x + -1x = 2x
-6 + 2x = 2(2 + 1)

Combine like terms: 2 + 1 = 3
-6 + 2x = 2(3)

Multiply 2 * 3
-6 + 2x = 6

Solving
-6 + 2x = 6

Solving for variable 'x'.

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

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

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

Combine like terms: 6 + 6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6