2(3-x)=2(x-5)

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Solution for 2(3-x)=2(x-5) equation: 


Simplifying
2(3 + -1x) = 2(x + -5)
(3 * 2 + -1x * 2) = 2(x + -5)
(6 + -2x) = 2(x + -5)

Reorder the terms:
6 + -2x = 2(-5 + x)
6 + -2x = (-5 * 2 + x * 2)
6 + -2x = (-10 + 2x)

Solving
6 + -2x = -10 + 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.
6 + -2x + -2x = -10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
6 + -4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -4x = -10 + 0
6 + -4x = -10

Add '-6' to each side of the equation.
6 + -6 + -4x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -10 + -6
-4x = -10 + -6

Combine like terms: -10 + -6 = -16
-4x = -16

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

Simplifying
x = 4

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