-5x-7(-6x-8)=4-3(6-x)

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Solution for -5x-7(-6x-8)=4-3(6-x) equation:


Simplifying
-5x + -7(-6x + -8) = 4 + -3(6 + -1x)

Reorder the terms:
-5x + -7(-8 + -6x) = 4 + -3(6 + -1x)
-5x + (-8 * -7 + -6x * -7) = 4 + -3(6 + -1x)
-5x + (56 + 42x) = 4 + -3(6 + -1x)

Reorder the terms:
56 + -5x + 42x = 4 + -3(6 + -1x)

Combine like terms: -5x + 42x = 37x
56 + 37x = 4 + -3(6 + -1x)
56 + 37x = 4 + (6 * -3 + -1x * -3)
56 + 37x = 4 + (-18 + 3x)

Combine like terms: 4 + -18 = -14
56 + 37x = -14 + 3x

Solving
56 + 37x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
56 + 37x + -3x = -14 + 3x + -3x

Combine like terms: 37x + -3x = 34x
56 + 34x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
56 + 34x = -14 + 0
56 + 34x = -14

Add '-56' to each side of the equation.
56 + -56 + 34x = -14 + -56

Combine like terms: 56 + -56 = 0
0 + 34x = -14 + -56
34x = -14 + -56

Combine like terms: -14 + -56 = -70
34x = -70

Divide each side by '34'.
x = -2.058823529

Simplifying
x = -2.058823529

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