3-(x-1)+2(x+3)=15

Solution for 3-(x-1)+2(x+3)=15 equation:

Simplifying
3 + -1(x + -1) + 2(x + 3) = 15

Reorder the terms:
3 + -1(-1 + x) + 2(x + 3) = 15
3 + (-1 * -1 + x * -1) + 2(x + 3) = 15
3 + (1 + -1x) + 2(x + 3) = 15

Reorder the terms:
3 + 1 + -1x + 2(3 + x) = 15
3 + 1 + -1x + (3 * 2 + x * 2) = 15
3 + 1 + -1x + (6 + 2x) = 15

Reorder the terms:
3 + 1 + 6 + -1x + 2x = 15

Combine like terms: 3 + 1 = 4
4 + 6 + -1x + 2x = 15

Combine like terms: 4 + 6 = 10
10 + -1x + 2x = 15

Combine like terms: -1x + 2x = 1x
10 + 1x = 15

Solving
10 + 1x = 15

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 15 + -10
1x = 15 + -10

Combine like terms: 15 + -10 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5