Answer:
Simplifying
5(2x + 6) = -4(-5 + -2x) + 3x
Reorder the terms:
5(6 + 2x) = -4(-5 + -2x) + 3x
(6 * 5 + 2x * 5) = -4(-5 + -2x) + 3x
(30 + 10x) = -4(-5 + -2x) + 3x
30 + 10x = (-5 * -4 + -2x * -4) + 3x
30 + 10x = (20 + 8x) + 3x
Combine like terms: 8x + 3x = 11x
30 + 10x = 20 + 11x
Solving
30 + 10x = 20 + 11x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11x' to each side of the equation.
30 + 10x + -11x = 20 + 11x + -11x
Combine like terms: 10x + -11x = -1x
30 + -1x = 20 + 11x + -11x
Combine like terms: 11x + -11x = 0
30 + -1x = 20 + 0
30 + -1x = 20
Add '-30' to each side of the equation.
30 + -30 + -1x = 20 + -30
Combine like terms: 30 + -30 = 0
0 + -1x = 20 + -30
-1x = 20 + -30
Combine like terms: 20 + -30 = -10
-1x = -10
Divide each side by '-1'.
x = 10
Simplifying
x = 10