2(x-1)+3=x

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

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

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

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

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

Solving
1 + 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.
1 + 2x + -1x = x + -1x

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

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

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

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

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

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

Simplifying
x = -1