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

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


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

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

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

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

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

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

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

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

Combine like terms: -1x + x = 0
-2 + 3x = 4 + 0
-2 + 3x = 4

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

Combine like terms: -2 + 2 = 0
0 + 3x = 4 + 2
3x = 4 + 2

Combine like terms: 4 + 2 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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