3x-57=5x-83

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Solution for 3x-57=5x-83 equation:


Simplifying
3x + -57 = 5x + -83

Reorder the terms:
-57 + 3x = 5x + -83

Reorder the terms:
-57 + 3x = -83 + 5x

Solving
-57 + 3x = -83 + 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.
-57 + 3x + -5x = -83 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-57 + -2x = -83 + 5x + -5x

Combine like terms: 5x + -5x = 0
-57 + -2x = -83 + 0
-57 + -2x = -83

Add '57' to each side of the equation.
-57 + 57 + -2x = -83 + 57

Combine like terms: -57 + 57 = 0
0 + -2x = -83 + 57
-2x = -83 + 57

Combine like terms: -83 + 57 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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