5x-82=2x-19

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Solution for 5x-82=2x-19 equation:


Simplifying
5x + -82 = 2x + -19

Reorder the terms:
-82 + 5x = 2x + -19

Reorder the terms:
-82 + 5x = -19 + 2x

Solving
-82 + 5x = -19 + 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.
-82 + 5x + -2x = -19 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-82 + 3x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
-82 + 3x = -19 + 0
-82 + 3x = -19

Add '82' to each side of the equation.
-82 + 82 + 3x = -19 + 82

Combine like terms: -82 + 82 = 0
0 + 3x = -19 + 82
3x = -19 + 82

Combine like terms: -19 + 82 = 63
3x = 63

Divide each side by '3'.
x = 21

Simplifying
x = 21

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