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

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

Simplifying
2(x + -1) + 3(1 + -1x) = 0

Reorder the terms:
2(-1 + x) + 3(1 + -1x) = 0
(-1 * 2 + x * 2) + 3(1 + -1x) = 0
(-2 + 2x) + 3(1 + -1x) = 0
-2 + 2x + (1 * 3 + -1x * 3) = 0
-2 + 2x + (3 + -3x) = 0

Reorder the terms:
-2 + 3 + 2x + -3x = 0

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

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

Solving
1 + -1x = 0

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 + -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