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

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


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

Reorder the terms:
(-5 + -6x) + -8 = -5(x + -7)

Remove parenthesis around (-5 + -6x)
-5 + -6x + -8 = -5(x + -7)

Reorder the terms:
-5 + -8 + -6x = -5(x + -7)

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

Reorder the terms:
-13 + -6x = -5(-7 + x)
-13 + -6x = (-7 * -5 + x * -5)
-13 + -6x = (35 + -5x)

Solving
-13 + -6x = 35 + -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.
-13 + -6x + 5x = 35 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-13 + -1x = 35 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + -1x = 35 + 0
-13 + -1x = 35

Add '13' to each side of the equation.
-13 + 13 + -1x = 35 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 35 + 13
-1x = 35 + 13

Combine like terms: 35 + 13 = 48
-1x = 48

Divide each side by '-1'.
x = -48

Simplifying
x = -48

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