-5(1-5x)+5(-8x-2)=-14x-8x

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Solution for -5(1-5x)+5(-8x-2)=-14x-8x equation:


Simplifying
-5(1 + -5x) + 5(-8x + -2) = -14x + -8x
(1 * -5 + -5x * -5) + 5(-8x + -2) = -14x + -8x
(-5 + 25x) + 5(-8x + -2) = -14x + -8x

Reorder the terms:
-5 + 25x + 5(-2 + -8x) = -14x + -8x
-5 + 25x + (-2 * 5 + -8x * 5) = -14x + -8x
-5 + 25x + (-10 + -40x) = -14x + -8x

Reorder the terms:
-5 + -10 + 25x + -40x = -14x + -8x

Combine like terms: -5 + -10 = -15
-15 + 25x + -40x = -14x + -8x

Combine like terms: 25x + -40x = -15x
-15 + -15x = -14x + -8x

Combine like terms: -14x + -8x = -22x
-15 + -15x = -22x

Solving
-15 + -15x = -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
-15 + -15x + 22x = -22x + 22x

Combine like terms: -15x + 22x = 7x
-15 + 7x = -22x + 22x

Combine like terms: -22x + 22x = 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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