(2x+2)-3(x-3)=x+7

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Solution for (2x+2)-3(x-3)=x+7 equation: 


Simplifying
(2x + 2) + -3(x + -3) = x + 7

Reorder the terms:
(2 + 2x) + -3(x + -3) = x + 7

Remove parenthesis around (2 + 2x)
2 + 2x + -3(x + -3) = x + 7

Reorder the terms:
2 + 2x + -3(-3 + x) = x + 7
2 + 2x + (-3 * -3 + x * -3) = x + 7
2 + 2x + (9 + -3x) = x + 7

Reorder the terms:
2 + 9 + 2x + -3x = x + 7

Combine like terms: 2 + 9 = 11
11 + 2x + -3x = x + 7

Combine like terms: 2x + -3x = -1x
11 + -1x = x + 7

Reorder the terms:
11 + -1x = 7 + x

Solving
11 + -1x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
11 + -1x + -1x = 7 + x + -1x

Combine like terms: -1x + -1x = -2x
11 + -2x = 7 + x + -1x

Combine like terms: x + -1x = 0
11 + -2x = 7 + 0
11 + -2x = 7

Add '-11' to each side of the equation.
11 + -11 + -2x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 7 + -11
-2x = 7 + -11

Combine like terms: 7 + -11 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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