5x-10(3x-6)=3(24-9x)

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Solution for 5x-10(3x-6)=3(24-9x) equation:


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

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