6x-5x=-2(7-7x)-12(9-4x)

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Solution for 6x-5x=-2(7-7x)-12(9-4x) equation:


Simplifying
6x + -5x = -2(7 + -7x) + -12(9 + -4x)

Combine like terms: 6x + -5x = 1x
1x = -2(7 + -7x) + -12(9 + -4x)
1x = (7 * -2 + -7x * -2) + -12(9 + -4x)
1x = (-14 + 14x) + -12(9 + -4x)
1x = -14 + 14x + (9 * -12 + -4x * -12)
1x = -14 + 14x + (-108 + 48x)

Reorder the terms:
1x = -14 + -108 + 14x + 48x

Combine like terms: -14 + -108 = -122
1x = -122 + 14x + 48x

Combine like terms: 14x + 48x = 62x
1x = -122 + 62x

Solving
1x = -122 + 62x

Solving for variable 'x'.

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

Add '-62x' to each side of the equation.
1x + -62x = -122 + 62x + -62x

Combine like terms: 1x + -62x = -61x
-61x = -122 + 62x + -62x

Combine like terms: 62x + -62x = 0
-61x = -122 + 0
-61x = -122

Divide each side by '-61'.
x = 2

Simplifying
x = 2

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