(x+2)+(3x-3)=15

Solution for (x+2)+(3x-3)=15 equation:

Simplifying
(x + 2) + (3x + -3) = 15

Reorder the terms:
(2 + x) + (3x + -3) = 15

Remove parenthesis around (2 + x)
2 + x + (3x + -3) = 15

Reorder the terms:
2 + x + (-3 + 3x) = 15

Remove parenthesis around (-3 + 3x)
2 + x + -3 + 3x = 15

Reorder the terms:
2 + -3 + x + 3x = 15

Combine like terms: 2 + -3 = -1
-1 + x + 3x = 15

Combine like terms: x + 3x = 4x
-1 + 4x = 15

Solving
-1 + 4x = 15

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 + 4x = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 15 + 1
4x = 15 + 1

Combine like terms: 15 + 1 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4