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

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


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

Combine like terms: -7x + -6x = -13x
-13x = -5(x + -4) + 6(-6x + -8)

Reorder the terms:
-13x = -5(-4 + x) + 6(-6x + -8)
-13x = (-4 * -5 + x * -5) + 6(-6x + -8)
-13x = (20 + -5x) + 6(-6x + -8)

Reorder the terms:
-13x = 20 + -5x + 6(-8 + -6x)
-13x = 20 + -5x + (-8 * 6 + -6x * 6)
-13x = 20 + -5x + (-48 + -36x)

Reorder the terms:
-13x = 20 + -48 + -5x + -36x

Combine like terms: 20 + -48 = -28
-13x = -28 + -5x + -36x

Combine like terms: -5x + -36x = -41x
-13x = -28 + -41x

Solving
-13x = -28 + -41x

Solving for variable 'x'.

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

Add '41x' to each side of the equation.
-13x + 41x = -28 + -41x + 41x

Combine like terms: -13x + 41x = 28x
28x = -28 + -41x + 41x

Combine like terms: -41x + 41x = 0
28x = -28 + 0
28x = -28

Divide each side by '28'.
x = -1

Simplifying
x = -1

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