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

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


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

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

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

Add '10' to each side of the equation.
-10 + 10 + -2x = -10 + 10 + 10x

Combine like terms: -10 + 10 = 0
0 + -2x = -10 + 10 + 10x
-2x = -10 + 10 + 10x

Combine like terms: -10 + 10 = 0
-2x = 0 + 10x
-2x = 10x

Solving
-2x = 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.
-2x + -10x = 10x + -10x

Combine like terms: -2x + -10x = -12x
-12x = 10x + -10x

Combine like terms: 10x + -10x = 0
-12x = 0

Divide each side by '-12'.
x = 0

Simplifying
x = 0

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