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

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


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

Reorder the terms:
2(3 + x) + -3(x + -1) = 3 + 2x
(3 * 2 + x * 2) + -3(x + -1) = 3 + 2x
(6 + 2x) + -3(x + -1) = 3 + 2x

Reorder the terms:
6 + 2x + -3(-1 + x) = 3 + 2x
6 + 2x + (-1 * -3 + x * -3) = 3 + 2x
6 + 2x + (3 + -3x) = 3 + 2x

Reorder the terms:
6 + 3 + 2x + -3x = 3 + 2x

Combine like terms: 6 + 3 = 9
9 + 2x + -3x = 3 + 2x

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

Solving
9 + -1x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -1x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
9 + -3x = 3 + 0
9 + -3x = 3

Add '-9' to each side of the equation.
9 + -9 + -3x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 3 + -9
-3x = 3 + -9

Combine like terms: 3 + -9 = -6
-3x = -6

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

Simplifying
x = 2

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