Answer
x=6
Work Step by Step
Simplifying
5x + -10(3x + -6) = 3(24 + -9x)
Reorder the terms:
5x + -10(-6 + 3x) = 3(24 + -9x)
5x + (-6 * -10 + 3x * -10) = 3(24 + -9x)
5x + (60 + -30x) = 3(24 + -9x)
Reorder the terms:
60 + 5x + -30x = 3(24 + -9x)
Combine like terms: 5x + -30x = -25x
60 + -25x = 3(24 + -9x)
60 + -25x = (24 * 3 + -9x * 3)
60 + -25x = (72 + -27x)
Solving
60 + -25x = 72 + -27x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '27x' to each side of the equation.
60 + -25x + 27x = 72 + -27x + 27x
Combine like terms: -25x + 27x = 2x
60 + 2x = 72 + -27x + 27x
Combine like terms: -27x + 27x = 0
60 + 2x = 72 + 0
60 + 2x = 72
Add '-60' to each side of the equation.
60 + -60 + 2x = 72 + -60
Combine like terms: 60 + -60 = 0
0 + 2x = 72 + -60
2x = 72 + -60
Combine like terms: 72 + -60 = 12
2x = 12
Divide each side by '2'.
x = 6
Simplifying
x = 6
