5x-5=13x-83

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Solution for 5x-5=13x-83 equation:


Simplifying
5x + -5 = 13x + -83

Reorder the terms:
-5 + 5x = 13x + -83

Reorder the terms:
-5 + 5x = -83 + 13x

Solving
-5 + 5x = -83 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-5 + 5x + -13x = -83 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-5 + -8x = -83 + 13x + -13x

Combine like terms: 13x + -13x = 0
-5 + -8x = -83 + 0
-5 + -8x = -83

Add '5' to each side of the equation.
-5 + 5 + -8x = -83 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -83 + 5
-8x = -83 + 5

Combine like terms: -83 + 5 = -78
-8x = -78

Divide each side by '-8'.
x = 9.75

Simplifying
x = 9.75

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