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

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


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

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

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

Combine like terms: -2 + -2 = -4
-4 + 2x = -1(x + -3)

Reorder the terms:
-4 + 2x = -1(-3 + x)
-4 + 2x = (-3 * -1 + x * -1)
-4 + 2x = (3 + -1x)

Solving
-4 + 2x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 2x + x = 3 + -1x + x

Combine like terms: 2x + x = 3x
-4 + 3x = 3 + -1x + x

Combine like terms: -1x + x = 0
-4 + 3x = 3 + 0
-4 + 3x = 3

Add '4' to each side of the equation.
-4 + 4 + 3x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 3 + 4
3x = 3 + 4

Combine like terms: 3 + 4 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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