(6x-55)=(3x-16)

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Solution for (6x-55)=(3x-16) equation:


Simplifying
(6x + -55) = (3x + -16)

Reorder the terms:
(-55 + 6x) = (3x + -16)

Remove parenthesis around (-55 + 6x)
-55 + 6x = (3x + -16)

Reorder the terms:
-55 + 6x = (-16 + 3x)

Remove parenthesis around (-16 + 3x)
-55 + 6x = -16 + 3x

Solving
-55 + 6x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-55 + 6x + -3x = -16 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-55 + 3x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-55 + 3x = -16 + 0
-55 + 3x = -16

Add '55' to each side of the equation.
-55 + 55 + 3x = -16 + 55

Combine like terms: -55 + 55 = 0
0 + 3x = -16 + 55
3x = -16 + 55

Combine like terms: -16 + 55 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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