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

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


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

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

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

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

Combine like terms: 6 + 6 = 12
12 + 3x + -4x = 13

Combine like terms: 3x + -4x = -1x
12 + -1x = 13

Solving
12 + -1x = 13

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 13 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 13 + -12
-1x = 13 + -12

Combine like terms: 13 + -12 = 1
-1x = 1

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

Simplifying
x = -1

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