3(x+3)=2(x-2)+15

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Solution for 3(x+3)=2(x-2)+15 equation: 


Simplifying
3(x + 3) = 2(x + -2) + 15

Reorder the terms:
3(3 + x) = 2(x + -2) + 15
(3 * 3 + x * 3) = 2(x + -2) + 15
(9 + 3x) = 2(x + -2) + 15

Reorder the terms:
9 + 3x = 2(-2 + x) + 15
9 + 3x = (-2 * 2 + x * 2) + 15
9 + 3x = (-4 + 2x) + 15

Reorder the terms:
9 + 3x = -4 + 15 + 2x

Combine like terms: -4 + 15 = 11
9 + 3x = 11 + 2x

Solving
9 + 3x = 11 + 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 + 3x + -2x = 11 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
9 + 1x = 11 + 0
9 + 1x = 11

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

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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