2(x+1)-3(x-3)=9

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Solution for 2(x+1)-3(x-3)=9 equation:


Simplifying
2(x + 1) + -3(x + -3) = 9

Reorder the terms:
2(1 + x) + -3(x + -3) = 9
(1 * 2 + x * 2) + -3(x + -3) = 9
(2 + 2x) + -3(x + -3) = 9

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

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

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

Combine like terms: 2x + -3x = -1x
11 + -1x = 9

Solving
11 + -1x = 9

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 9 + -11
-1x = 9 + -11

Combine like terms: 9 + -11 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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