5(2x-2)=-10(-2x+1)

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Solution for 5(2x-2)=-10(-2x+1) equation:


Simplifying
5(2x + -2) = -10(-2x + 1)

Reorder the terms:
5(-2 + 2x) = -10(-2x + 1)
(-2 * 5 + 2x * 5) = -10(-2x + 1)
(-10 + 10x) = -10(-2x + 1)

Reorder the terms:
-10 + 10x = -10(1 + -2x)
-10 + 10x = (1 * -10 + -2x * -10)
-10 + 10x = (-10 + 20x)

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

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

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

Solving
10x = 20x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-10'.
x = 0

Simplifying
x = 0

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