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

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


Simplifying
(2x + 3) + -1(3x + -2) = 15

Reorder the terms:
(3 + 2x) + -1(3x + -2) = 15

Remove parenthesis around (3 + 2x)
3 + 2x + -1(3x + -2) = 15

Reorder the terms:
3 + 2x + -1(-2 + 3x) = 15
3 + 2x + (-2 * -1 + 3x * -1) = 15
3 + 2x + (2 + -3x) = 15

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

Combine like terms: 3 + 2 = 5
5 + 2x + -3x = 15

Combine like terms: 2x + -3x = -1x
5 + -1x = 15

Solving
5 + -1x = 15

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 15 + -5
-1x = 15 + -5

Combine like terms: 15 + -5 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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