5x-100=2x-13

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Solution for 5x-100=2x-13 equation:


Simplifying
5x + -100 = 2x + -13

Reorder the terms:
-100 + 5x = 2x + -13

Reorder the terms:
-100 + 5x = -13 + 2x

Solving
-100 + 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.
-100 + 5x + -2x = -13 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-100 + 3x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-100 + 3x = -13 + 0
-100 + 3x = -13

Add '100' to each side of the equation.
-100 + 100 + 3x = -13 + 100

Combine like terms: -100 + 100 = 0
0 + 3x = -13 + 100
3x = -13 + 100

Combine like terms: -13 + 100 = 87
3x = 87

Divide each side by '3'.
x = 29

Simplifying
x = 29

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