5(1-(5x-5))=8(6-2x)

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Solution for 5(1-(5x-5))=8(6-2x) equation:


Simplifying
5(1 + -1(5x + -5)) = 8(6 + -2x)

Reorder the terms:
5(1 + -1(-5 + 5x)) = 8(6 + -2x)
5(1 + (-5 * -1 + 5x * -1)) = 8(6 + -2x)
5(1 + (5 + -5x)) = 8(6 + -2x)

Combine like terms: 1 + 5 = 6
5(6 + -5x) = 8(6 + -2x)
(6 * 5 + -5x * 5) = 8(6 + -2x)
(30 + -25x) = 8(6 + -2x)
30 + -25x = (6 * 8 + -2x * 8)
30 + -25x = (48 + -16x)

Solving
30 + -25x = 48 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
30 + -25x + 16x = 48 + -16x + 16x

Combine like terms: -25x + 16x = -9x
30 + -9x = 48 + -16x + 16x

Combine like terms: -16x + 16x = 0
30 + -9x = 48 + 0
30 + -9x = 48

Add '-30' to each side of the equation.
30 + -30 + -9x = 48 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = 48 + -30
-9x = 48 + -30

Combine like terms: 48 + -30 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2

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