(x+4)+(x-1)=5

Solution for (x+4)+(x-1)=5 equation:

Simplifying
(x + 4) + (x + -1) = 5

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

Remove parenthesis around (4 + x)
4 + x + (x + -1) = 5

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

Remove parenthesis around (-1 + x)
4 + x + -1 + x = 5

Reorder the terms:
4 + -1 + x + x = 5

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

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

Solving
3 + 2x = 5

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 5 + -3
2x = 5 + -3

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

Divide each side by '2'.
x = 1

Simplifying
x = 1