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

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

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

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

Remove parenthesis around (3 + 2x)
3 + 2x + -1(x + -1) = 5

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

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

Combine like terms: 3 + 1 = 4
4 + 2x + -1x = 5

Combine like terms: 2x + -1x = 1x
4 + 1x = 5

Solving
4 + 1x = 5

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1