-5(1-5x+3)+5(-8x-2)=-4x-8x

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Solution for -5(1-5x+3)+5(-8x-2)=-4x-8x equation:


Simplifying
-5(1 + -5x + 3) + 5(-8x + -2) = -4x + -8x

Reorder the terms:
-5(1 + 3 + -5x) + 5(-8x + -2) = -4x + -8x

Combine like terms: 1 + 3 = 4
-5(4 + -5x) + 5(-8x + -2) = -4x + -8x
(4 * -5 + -5x * -5) + 5(-8x + -2) = -4x + -8x
(-20 + 25x) + 5(-8x + -2) = -4x + -8x

Reorder the terms:
-20 + 25x + 5(-2 + -8x) = -4x + -8x
-20 + 25x + (-2 * 5 + -8x * 5) = -4x + -8x
-20 + 25x + (-10 + -40x) = -4x + -8x

Reorder the terms:
-20 + -10 + 25x + -40x = -4x + -8x

Combine like terms: -20 + -10 = -30
-30 + 25x + -40x = -4x + -8x

Combine like terms: 25x + -40x = -15x
-30 + -15x = -4x + -8x

Combine like terms: -4x + -8x = -12x
-30 + -15x = -12x

Solving
-30 + -15x = -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-30 + -15x + 12x = -12x + 12x

Combine like terms: -15x + 12x = -3x
-30 + -3x = -12x + 12x

Combine like terms: -12x + 12x = 0
-30 + -3x = 0

Add '30' to each side of the equation.
-30 + 30 + -3x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -3x = 0 + 30
-3x = 0 + 30

Combine like terms: 0 + 30 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10

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