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

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


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

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

Remove parenthesis around (-2 + 2x)
-2 + 2x + -1(x + 2) = 3

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

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

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

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

Solving
-4 + 1x = 3

Solving for variable 'x'.

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

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

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

Combine like terms: 3 + 4 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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