3(x+20)-2(-x+10)=-15

Solution for 3(x+20)-2(-x+10)=-15 equation:

Simplifying
3(x + 20) + -2(-1x + 10) = -15

Reorder the terms:
3(20 + x) + -2(-1x + 10) = -15
(20 * 3 + x * 3) + -2(-1x + 10) = -15
(60 + 3x) + -2(-1x + 10) = -15

Reorder the terms:
60 + 3x + -2(10 + -1x) = -15
60 + 3x + (10 * -2 + -1x * -2) = -15
60 + 3x + (-20 + 2x) = -15

Reorder the terms:
60 + -20 + 3x + 2x = -15

Combine like terms: 60 + -20 = 40
40 + 3x + 2x = -15

Combine like terms: 3x + 2x = 5x
40 + 5x = -15

Solving
40 + 5x = -15

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 5x = -15 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = -15 + -40
5x = -15 + -40

Combine like terms: -15 + -40 = -55
5x = -55

Divide each side by '5'.
x = -11

Simplifying
x = -11