5[2(3x-3)-2(3x-6)]=9x-78

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Solution for 5[2(3x-3)-2(3x-6)]=9x-78 equation:


Simplifying
5[2(3x + -3) + -2(3x + -6)] = 9x + -78

Reorder the terms:
5[2(-3 + 3x) + -2(3x + -6)] = 9x + -78
5[(-3 * 2 + 3x * 2) + -2(3x + -6)] = 9x + -78
5[(-6 + 6x) + -2(3x + -6)] = 9x + -78

Reorder the terms:
5[-6 + 6x + -2(-6 + 3x)] = 9x + -78
5[-6 + 6x + (-6 * -2 + 3x * -2)] = 9x + -78
5[-6 + 6x + (12 + -6x)] = 9x + -78

Reorder the terms:
5[-6 + 12 + 6x + -6x] = 9x + -78

Combine like terms: -6 + 12 = 6
5[6 + 6x + -6x] = 9x + -78

Combine like terms: 6x + -6x = 0
5[6 + 0] = 9x + -78
5[6] = 9x + -78

Multiply 5 * 6
30 = 9x + -78

Reorder the terms:
30 = -78 + 9x

Solving
30 = -78 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
30 + -9x = -78 + 9x + -9x

Combine like terms: 9x + -9x = 0
30 + -9x = -78 + 0
30 + -9x = -78

Add '-30' to each side of the equation.
30 + -30 + -9x = -78 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = -78 + -30
-9x = -78 + -30

Combine like terms: -78 + -30 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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