-5(1-x)+8x=-2(-7x-2)

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Solution for -5(1-x)+8x=-2(-7x-2) equation:


Simplifying
-5(1 + -1x) + 8x = -2(-7x + -2)
(1 * -5 + -1x * -5) + 8x = -2(-7x + -2)
(-5 + 5x) + 8x = -2(-7x + -2)

Combine like terms: 5x + 8x = 13x
-5 + 13x = -2(-7x + -2)

Reorder the terms:
-5 + 13x = -2(-2 + -7x)
-5 + 13x = (-2 * -2 + -7x * -2)
-5 + 13x = (4 + 14x)

Solving
-5 + 13x = 4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-5 + 13x + -14x = 4 + 14x + -14x

Combine like terms: 13x + -14x = -1x
-5 + -1x = 4 + 14x + -14x

Combine like terms: 14x + -14x = 0
-5 + -1x = 4 + 0
-5 + -1x = 4

Add '5' to each side of the equation.
-5 + 5 + -1x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 4 + 5
-1x = 4 + 5

Combine like terms: 4 + 5 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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