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

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


Simplifying
-5(1 + -5x) + 5(-8x + -2) = -8x
(1 * -5 + -5x * -5) + 5(-8x + -2) = -8x
(-5 + 25x) + 5(-8x + -2) = -8x

Reorder the terms:
-5 + 25x + 5(-2 + -8x) = -8x
-5 + 25x + (-2 * 5 + -8x * 5) = -8x
-5 + 25x + (-10 + -40x) = -8x

Reorder the terms:
-5 + -10 + 25x + -40x = -8x

Combine like terms: -5 + -10 = -15
-15 + 25x + -40x = -8x

Combine like terms: 25x + -40x = -15x
-15 + -15x = -8x

Solving
-15 + -15x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-15 + -15x + 8x = -8x + 8x

Combine like terms: -15x + 8x = -7x
-15 + -7x = -8x + 8x

Combine like terms: -8x + 8x = 0
-15 + -7x = 0

Add '15' to each side of the equation.
-15 + 15 + -7x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = 0 + 15
-7x = 0 + 15

Combine like terms: 0 + 15 = 15
-7x = 15

Divide each side by '-7'.
x = -2.142857143

Simplifying
x = -2.142857143

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