5x+3(2-x)=x

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

Simplifying
5x + 3(2 + -1x) = x
5x + (2 * 3 + -1x * 3) = x
5x + (6 + -3x) = x

Reorder the terms:
6 + 5x + -3x = x

Combine like terms: 5x + -3x = 2x
6 + 2x = x

Solving
6 + 2x = 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 + 2x + -1x = x + -1x

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

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6

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

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

Divide each side by '1'.
x = -6

Simplifying
x = -6