2x-17=5x-82

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Solution for 2x-17=5x-82 equation:


Simplifying
2x + -17 = 5x + -82

Reorder the terms:
-17 + 2x = 5x + -82

Reorder the terms:
-17 + 2x = -82 + 5x

Solving
-17 + 2x = -82 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-17 + 2x + -5x = -82 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-17 + -3x = -82 + 5x + -5x

Combine like terms: 5x + -5x = 0
-17 + -3x = -82 + 0
-17 + -3x = -82

Add '17' to each side of the equation.
-17 + 17 + -3x = -82 + 17

Combine like terms: -17 + 17 = 0
0 + -3x = -82 + 17
-3x = -82 + 17

Combine like terms: -82 + 17 = -65
-3x = -65

Divide each side by '-3'.
x = 21.66666667

Simplifying
x = 21.66666667

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