(-2x+5)-(-3x+2)=0

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Solution for (-2x+5)-(-3x+2)=0 equation:


Simplifying
(-2x + 5) + -1(-3x + 2) = 0

Reorder the terms:
(5 + -2x) + -1(-3x + 2) = 0

Remove parenthesis around (5 + -2x)
5 + -2x + -1(-3x + 2) = 0

Reorder the terms:
5 + -2x + -1(2 + -3x) = 0
5 + -2x + (2 * -1 + -3x * -1) = 0
5 + -2x + (-2 + 3x) = 0

Reorder the terms:
5 + -2 + -2x + 3x = 0

Combine like terms: 5 + -2 = 3
3 + -2x + 3x = 0

Combine like terms: -2x + 3x = 1x
3 + 1x = 0

Solving
3 + 1x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 0 + -3
1x = 0 + -3

Combine like terms: 0 + -3 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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