2(x-1)=2(5-2x)

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Solution for 2(x-1)=2(5-2x) equation: 


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

Reorder the terms:
2(-1 + x) = 2(5 + -2x)
(-1 * 2 + x * 2) = 2(5 + -2x)
(-2 + 2x) = 2(5 + -2x)
-2 + 2x = (5 * 2 + -2x * 2)
-2 + 2x = (10 + -4x)

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

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

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 10 + 2

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

Combine like terms: 10 + 2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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