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

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

Simplifying
3(2 + -1x) + 2(x + 3) = 15
(2 * 3 + -1x * 3) + 2(x + 3) = 15
(6 + -3x) + 2(x + 3) = 15

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

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

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

Combine like terms: -3x + 2x = -1x
12 + -1x = 15

Solving
12 + -1x = 15

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 15 + -12
-1x = 15 + -12

Combine like terms: 15 + -12 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3