5x-13=x+2

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


Simplifying
5x + -13 = x + 2

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

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

Solving
-13 + 5x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13 + 5x + -1x = 2 + x + -1x

Combine like terms: 5x + -1x = 4x
-13 + 4x = 2 + x + -1x

Combine like terms: x + -1x = 0
-13 + 4x = 2 + 0
-13 + 4x = 2

Add '13' to each side of the equation.
-13 + 13 + 4x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 2 + 13
4x = 2 + 13

Combine like terms: 2 + 13 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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