x+3(2-x)=2

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

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

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

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

Solving
6 + -2x = 2

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 = 2 + -6

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

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2