3(x+3)-2(2x-3)=13

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Solution for 3(x+3)-2(2x-3)=13 equation: 


Simplifying
3(x + 3) + -2(2x + -3) = 13

Reorder the terms:
3(3 + x) + -2(2x + -3) = 13
(3 * 3 + x * 3) + -2(2x + -3) = 13
(9 + 3x) + -2(2x + -3) = 13

Reorder the terms:
9 + 3x + -2(-3 + 2x) = 13
9 + 3x + (-3 * -2 + 2x * -2) = 13
9 + 3x + (6 + -4x) = 13

Reorder the terms:
9 + 6 + 3x + -4x = 13

Combine like terms: 9 + 6 = 15
15 + 3x + -4x = 13

Combine like terms: 3x + -4x = -1x
15 + -1x = 13

Solving
15 + -1x = 13

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 13 + -15
-1x = 13 + -15

Combine like terms: 13 + -15 = -2
-1x = -2

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

Simplifying
x = 2

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