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

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


Simplifying
-5(1 + -5x) + 4(-8x + -2) = -4x + -8x
(1 * -5 + -5x * -5) + 4(-8x + -2) = -4x + -8x
(-5 + 25x) + 4(-8x + -2) = -4x + -8x

Reorder the terms:
-5 + 25x + 4(-2 + -8x) = -4x + -8x
-5 + 25x + (-2 * 4 + -8x * 4) = -4x + -8x
-5 + 25x + (-8 + -32x) = -4x + -8x

Reorder the terms:
-5 + -8 + 25x + -32x = -4x + -8x

Combine like terms: -5 + -8 = -13
-13 + 25x + -32x = -4x + -8x

Combine like terms: 25x + -32x = -7x
-13 + -7x = -4x + -8x

Combine like terms: -4x + -8x = -12x
-13 + -7x = -12x

Solving
-13 + -7x = -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.
-13 + -7x + 12x = -12x + 12x

Combine like terms: -7x + 12x = 5x
-13 + 5x = -12x + 12x

Combine like terms: -12x + 12x = 0
-13 + 5x = 0

Add '13' to each side of the equation.
-13 + 13 + 5x = 0 + 13

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

Combine like terms: 0 + 13 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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