-6x+7x=-12(x+8)+11(x+10)

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Solution for -6x+7x=-12(x+8)+11(x+10) equation:


Simplifying
-6x + 7x = -12(x + 8) + 11(x + 10)

Combine like terms: -6x + 7x = 1x
1x = -12(x + 8) + 11(x + 10)

Reorder the terms:
1x = -12(8 + x) + 11(x + 10)
1x = (8 * -12 + x * -12) + 11(x + 10)
1x = (-96 + -12x) + 11(x + 10)

Reorder the terms:
1x = -96 + -12x + 11(10 + x)
1x = -96 + -12x + (10 * 11 + x * 11)
1x = -96 + -12x + (110 + 11x)

Reorder the terms:
1x = -96 + 110 + -12x + 11x

Combine like terms: -96 + 110 = 14
1x = 14 + -12x + 11x

Combine like terms: -12x + 11x = -1x
1x = 14 + -1x

Solving
1x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1x + x = 14 + -1x + x

Combine like terms: 1x + x = 2x
2x = 14 + -1x + x

Combine like terms: -1x + x = 0
2x = 14 + 0
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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