2(x+3)-3(x+4)=15

Solution for 2(x+3)-3(x+4)=15 equation:

Simplifying
2(x + 3) + -3(x + 4) = 15

Reorder the terms:
2(3 + x) + -3(x + 4) = 15
(3 * 2 + x * 2) + -3(x + 4) = 15
(6 + 2x) + -3(x + 4) = 15

Reorder the terms:
6 + 2x + -3(4 + x) = 15
6 + 2x + (4 * -3 + x * -3) = 15
6 + 2x + (-12 + -3x) = 15

Reorder the terms:
6 + -12 + 2x + -3x = 15

Combine like terms: 6 + -12 = -6
-6 + 2x + -3x = 15

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

Solving
-6 + -1x = 15

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 15 + 6
-1x = 15 + 6

Combine like terms: 15 + 6 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21