5x-103=2x-13

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Solution for 5x-103=2x-13 equation:


Simplifying
5x + -103 = 2x + -13

Reorder the terms:
-103 + 5x = 2x + -13

Reorder the terms:
-103 + 5x = -13 + 2x

Solving
-103 + 5x = -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.
-103 + 5x + -2x = -13 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-103 + 3x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-103 + 3x = -13 + 0
-103 + 3x = -13

Add '103' to each side of the equation.
-103 + 103 + 3x = -13 + 103

Combine like terms: -103 + 103 = 0
0 + 3x = -13 + 103
3x = -13 + 103

Combine like terms: -13 + 103 = 90
3x = 90

Divide each side by '3'.
x = 30

Simplifying
x = 30

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