2(x-1)+1=3

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

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

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

Reorder the terms:
-2 + 1 + 2x = 3

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

Solving
-1 + 2x = 3

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 3 + 1

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

Combine like terms: 3 + 1 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2