(3x+2)-(2x-3)=-10

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Solution for (3x+2)-(2x-3)=-10 equation:


Simplifying
(3x + 2) + -1(2x + -3) = -10

Reorder the terms:
(2 + 3x) + -1(2x + -3) = -10

Remove parenthesis around (2 + 3x)
2 + 3x + -1(2x + -3) = -10

Reorder the terms:
2 + 3x + -1(-3 + 2x) = -10
2 + 3x + (-3 * -1 + 2x * -1) = -10
2 + 3x + (3 + -2x) = -10

Reorder the terms:
2 + 3 + 3x + -2x = -10

Combine like terms: 2 + 3 = 5
5 + 3x + -2x = -10

Combine like terms: 3x + -2x = 1x
5 + 1x = -10

Solving
5 + 1x = -10

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 = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -10 + -5
1x = -10 + -5

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

Divide each side by '1'.
x = -15

Simplifying
x = -15

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