2-(x+3)=-2(x-1)

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Solution for 2-(x+3)=-2(x-1) equation:


Simplifying
2 + -1(x + 3) = -2(x + -1)

Reorder the terms:
2 + -1(3 + x) = -2(x + -1)
2 + (3 * -1 + x * -1) = -2(x + -1)
2 + (-3 + -1x) = -2(x + -1)

Combine like terms: 2 + -3 = -1
-1 + -1x = -2(x + -1)

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

Solving
-1 + -1x = 2 + -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.
-1 + -1x + 2x = 2 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-1 + 1x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 1x = 2 + 0
-1 + 1x = 2

Add '1' to each side of the equation.
-1 + 1 + 1x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 2 + 1
1x = 2 + 1

Combine like terms: 2 + 1 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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