3(x-1)=3+x

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

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

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

Solving
-3 + 3x = 3 + 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.
-3 + 3x + -1x = 3 + x + -1x

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

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

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3