-5(-2x+8)=-10(x-2)

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Solution for -5(-2x+8)=-10(x-2) equation:


Simplifying
-5(-2x + 8) = -10(x + -2)

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

Reorder the terms:
-40 + 10x = -10(-2 + x)
-40 + 10x = (-2 * -10 + x * -10)
-40 + 10x = (20 + -10x)

Solving
-40 + 10x = 20 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-40 + 10x + 10x = 20 + -10x + 10x

Combine like terms: 10x + 10x = 20x
-40 + 20x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
-40 + 20x = 20 + 0
-40 + 20x = 20

Add '40' to each side of the equation.
-40 + 40 + 20x = 20 + 40

Combine like terms: -40 + 40 = 0
0 + 20x = 20 + 40
20x = 20 + 40

Combine like terms: 20 + 40 = 60
20x = 60

Divide each side by '20'.
x = 3

Simplifying
x = 3

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