2(-x+5)=2(x-9)

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Solution for 2(-x+5)=2(x-9) equation: 


Simplifying
2(-1x + 5) = 2(x + -9)

Reorder the terms:
2(5 + -1x) = 2(x + -9)
(5 * 2 + -1x * 2) = 2(x + -9)
(10 + -2x) = 2(x + -9)

Reorder the terms:
10 + -2x = 2(-9 + x)
10 + -2x = (-9 * 2 + x * 2)
10 + -2x = (-18 + 2x)

Solving
10 + -2x = -18 + 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 = -18 + 2x + -2x

Combine like terms: -2x + -2x = -4x
10 + -4x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -4x = -18 + 0
10 + -4x = -18

Add '-10' to each side of the equation.
10 + -10 + -4x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -18 + -10
-4x = -18 + -10

Combine like terms: -18 + -10 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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