3(2-x)=x+2

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

Simplifying
3(2 + -1x) = x + 2
(2 * 3 + -1x * 3) = x + 2
(6 + -3x) = x + 2

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

Solving
6 + -3x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -3x + -1x = 2 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = 2 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = 2 + 0
6 + -4x = 2

Add '-6' to each side of the equation.
6 + -6 + -4x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 2 + -6
-4x = 2 + -6

Combine like terms: 2 + -6 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1