3x-5=x+13

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Solution for 3x-5=x+13 equation:


Simplifying
3x + -5 = x + 13

Reorder the terms:
-5 + 3x = x + 13

Reorder the terms:
-5 + 3x = 13 + x

Solving
-5 + 3x = 13 + 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.
-5 + 3x + -1x = 13 + x + -1x

Combine like terms: 3x + -1x = 2x
-5 + 2x = 13 + x + -1x

Combine like terms: x + -1x = 0
-5 + 2x = 13 + 0
-5 + 2x = 13

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

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

Combine like terms: 13 + 5 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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