6+3(x-1)=2x

Solution for 6+3(x-1)=2x equation:

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

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

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

Solving
3 + 3x = 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
3 + 1x = 0

Add '-3' to each side of the equation.
3 + -3 + 1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 0 + -3
1x = 0 + -3

Combine like terms: 0 + -3 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3