-2x+5=3x-5

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Solution for -2x+5=3x-5 equation:


Simplifying
-2x + 5 = 3x + -5

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

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

Solving
5 + -2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + -2x + -3x = -5 + 3x + -3x

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

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

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

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

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

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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