-2(x-5)=-4(x+5)

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Solution for -2(x-5)=-4(x+5) equation: 


Simplifying
-2(x + -5) = -4(x + 5)

Reorder the terms:
-2(-5 + x) = -4(x + 5)
(-5 * -2 + x * -2) = -4(x + 5)
(10 + -2x) = -4(x + 5)

Reorder the terms:
10 + -2x = -4(5 + x)
10 + -2x = (5 * -4 + x * -4)
10 + -2x = (-20 + -4x)

Solving
10 + -2x = -20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -2x + 4x = -20 + -4x + 4x

Combine like terms: -2x + 4x = 2x
10 + 2x = -20 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 2x = -20 + 0
10 + 2x = -20

Add '-10' to each side of the equation.
10 + -10 + 2x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -20 + -10
2x = -20 + -10

Combine like terms: -20 + -10 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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