5x-2x-2=-2x+13

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Solution for 5x-2x-2=-2x+13 equation:


Simplifying
5x + -2x + -2 = -2x + 13

Reorder the terms:
-2 + 5x + -2x = -2x + 13

Combine like terms: 5x + -2x = 3x
-2 + 3x = -2x + 13

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

Solving
-2 + 3x = 13 + -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.
-2 + 3x + 2x = 13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-2 + 5x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 5x = 13 + 0
-2 + 5x = 13

Add '2' to each side of the equation.
-2 + 2 + 5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 13 + 2
5x = 13 + 2

Combine like terms: 13 + 2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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