2(3x-(4x-6))=5(x-6)

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Solution for 2(3x-(4x-6))=5(x-6) equation:


Simplifying
2(3x + -1(4x + -6)) = 5(x + -6)

Reorder the terms:
2(3x + -1(-6 + 4x)) = 5(x + -6)
2(3x + (-6 * -1 + 4x * -1)) = 5(x + -6)
2(3x + (6 + -4x)) = 5(x + -6)

Reorder the terms:
2(6 + 3x + -4x) = 5(x + -6)

Combine like terms: 3x + -4x = -1x
2(6 + -1x) = 5(x + -6)
(6 * 2 + -1x * 2) = 5(x + -6)
(12 + -2x) = 5(x + -6)

Reorder the terms:
12 + -2x = 5(-6 + x)
12 + -2x = (-6 * 5 + x * 5)
12 + -2x = (-30 + 5x)

Solving
12 + -2x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -2x + -5x = -30 + 5x + -5x

Combine like terms: -2x + -5x = -7x
12 + -7x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -7x = -30 + 0
12 + -7x = -30

Add '-12' to each side of the equation.
12 + -12 + -7x = -30 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -30 + -12
-7x = -30 + -12

Combine like terms: -30 + -12 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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