2(x+1)-3(x-1)=5-1

Solution for 2(x+1)-3(x-1)=5-1 equation:

Simplifying
2(x + 1) + -3(x + -1) = 5 + -1

Reorder the terms:
2(1 + x) + -3(x + -1) = 5 + -1
(1 * 2 + x * 2) + -3(x + -1) = 5 + -1
(2 + 2x) + -3(x + -1) = 5 + -1

Reorder the terms:
2 + 2x + -3(-1 + x) = 5 + -1
2 + 2x + (-1 * -3 + x * -3) = 5 + -1
2 + 2x + (3 + -3x) = 5 + -1

Reorder the terms:
2 + 3 + 2x + -3x = 5 + -1

Combine like terms: 2 + 3 = 5
5 + 2x + -3x = 5 + -1

Combine like terms: 2x + -3x = -1x
5 + -1x = 5 + -1

Combine like terms: 5 + -1 = 4
5 + -1x = 4

Solving
5 + -1x = 4

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 4 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 4 + -5
-1x = 4 + -5

Combine like terms: 4 + -5 = -1
-1x = -1

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

Simplifying
x = 1