(3x+16)=(5x-54)

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Solution for (3x+16)=(5x-54) equation:


Simplifying
(3x + 16) = (5x + -54)

Reorder the terms:
(16 + 3x) = (5x + -54)

Remove parenthesis around (16 + 3x)
16 + 3x = (5x + -54)

Reorder the terms:
16 + 3x = (-54 + 5x)

Remove parenthesis around (-54 + 5x)
16 + 3x = -54 + 5x

Solving
16 + 3x = -54 + 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.
16 + 3x + -5x = -54 + 5x + -5x

Combine like terms: 3x + -5x = -2x
16 + -2x = -54 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -2x = -54 + 0
16 + -2x = -54

Add '-16' to each side of the equation.
16 + -16 + -2x = -54 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -54 + -16
-2x = -54 + -16

Combine like terms: -54 + -16 = -70
-2x = -70

Divide each side by '-2'.
x = 35

Simplifying
x = 35

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