(5x-13)=(16x-55)

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Solution for (5x-13)=(16x-55) equation:


Simplifying
(5x + -13) = (16x + -55)

Reorder the terms:
(-13 + 5x) = (16x + -55)

Remove parenthesis around (-13 + 5x)
-13 + 5x = (16x + -55)

Reorder the terms:
-13 + 5x = (-55 + 16x)

Remove parenthesis around (-55 + 16x)
-13 + 5x = -55 + 16x

Solving
-13 + 5x = -55 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-13 + 5x + -16x = -55 + 16x + -16x

Combine like terms: 5x + -16x = -11x
-13 + -11x = -55 + 16x + -16x

Combine like terms: 16x + -16x = 0
-13 + -11x = -55 + 0
-13 + -11x = -55

Add '13' to each side of the equation.
-13 + 13 + -11x = -55 + 13

Combine like terms: -13 + 13 = 0
0 + -11x = -55 + 13
-11x = -55 + 13

Combine like terms: -55 + 13 = -42
-11x = -42

Divide each side by '-11'.
x = 3.818181818

Simplifying
x = 3.818181818

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