3x-17=5x-55

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Solution for 3x-17=5x-55 equation:


Simplifying
3x + -17 = 5x + -55

Reorder the terms:
-17 + 3x = 5x + -55

Reorder the terms:
-17 + 3x = -55 + 5x

Solving
-17 + 3x = -55 + 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 + 3x + -5x = -55 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-17 + -2x = -55 + 5x + -5x

Combine like terms: 5x + -5x = 0
-17 + -2x = -55 + 0
-17 + -2x = -55

Add '17' to each side of the equation.
-17 + 17 + -2x = -55 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = -55 + 17
-2x = -55 + 17

Combine like terms: -55 + 17 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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