-2(x-5)=2(x+20)

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Solution for -2(x-5)=2(x+20) equation: 


Simplifying
-2(x + -5) = 2(x + 20)

Reorder the terms:
-2(-5 + x) = 2(x + 20)
(-5 * -2 + x * -2) = 2(x + 20)
(10 + -2x) = 2(x + 20)

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

Solving
10 + -2x = 40 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + -2x + -2x = 40 + 2x + -2x

Combine like terms: -2x + -2x = -4x
10 + -4x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -4x = 40 + 0
10 + -4x = 40

Add '-10' to each side of the equation.
10 + -10 + -4x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 40 + -10
-4x = 40 + -10

Combine like terms: 40 + -10 = 30
-4x = 30

Divide each side by '-4'.
x = -7.5

Simplifying
x = -7.5

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