3x-10+13=-2x+2

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Solution for 3x-10+13=-2x+2 equation:


Simplifying
3x + -10 + 13 = -2x + 2

Reorder the terms:
-10 + 13 + 3x = -2x + 2

Combine like terms: -10 + 13 = 3
3 + 3x = -2x + 2

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

Solving
3 + 3x = 2 + -2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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