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

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


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

Reorder the terms:
2(2 + x) + -3(x + -3) = x + 7
(2 * 2 + x * 2) + -3(x + -3) = x + 7
(4 + 2x) + -3(x + -3) = x + 7

Reorder the terms:
4 + 2x + -3(-3 + x) = x + 7
4 + 2x + (-3 * -3 + x * -3) = x + 7
4 + 2x + (9 + -3x) = x + 7

Reorder the terms:
4 + 9 + 2x + -3x = x + 7

Combine like terms: 4 + 9 = 13
13 + 2x + -3x = x + 7

Combine like terms: 2x + -3x = -1x
13 + -1x = x + 7

Reorder the terms:
13 + -1x = 7 + x

Solving
13 + -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.
13 + -1x + -1x = 7 + x + -1x

Combine like terms: -1x + -1x = -2x
13 + -2x = 7 + x + -1x

Combine like terms: x + -1x = 0
13 + -2x = 7 + 0
13 + -2x = 7

Add '-13' to each side of the equation.
13 + -13 + -2x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 7 + -13
-2x = 7 + -13

Combine like terms: 7 + -13 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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