8(-5x-2)-6=13-5x

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Solution for 8(-5x-2)-6=13-5x equation:


Simplifying
8(-5x + -2) + -6 = 13 + -5x

Reorder the terms:
8(-2 + -5x) + -6 = 13 + -5x
(-2 * 8 + -5x * 8) + -6 = 13 + -5x
(-16 + -40x) + -6 = 13 + -5x

Reorder the terms:
-16 + -6 + -40x = 13 + -5x

Combine like terms: -16 + -6 = -22
-22 + -40x = 13 + -5x

Solving
-22 + -40x = 13 + -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.
-22 + -40x + 5x = 13 + -5x + 5x

Combine like terms: -40x + 5x = -35x
-22 + -35x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-22 + -35x = 13 + 0
-22 + -35x = 13

Add '22' to each side of the equation.
-22 + 22 + -35x = 13 + 22

Combine like terms: -22 + 22 = 0
0 + -35x = 13 + 22
-35x = 13 + 22

Combine like terms: 13 + 22 = 35
-35x = 35

Divide each side by '-35'.
x = -1

Simplifying
x = -1

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