2x+2=5x-13

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


Simplifying
2x + 2 = 5x + -13

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

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

Solving
2 + 2x = -13 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
2 + -3x = -13 + 0
2 + -3x = -13

Add '-2' to each side of the equation.
2 + -2 + -3x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -13 + -2
-3x = -13 + -2

Combine like terms: -13 + -2 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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