5x+16=12x-54

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Solution for 5x+16=12x-54 equation:


Simplifying
5x + 16 = 12x + -54

Reorder the terms:
16 + 5x = 12x + -54

Reorder the terms:
16 + 5x = -54 + 12x

Solving
16 + 5x = -54 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
16 + 5x + -12x = -54 + 12x + -12x

Combine like terms: 5x + -12x = -7x
16 + -7x = -54 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -7x = -54 + 0
16 + -7x = -54

Add '-16' to each side of the equation.
16 + -16 + -7x = -54 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -54 + -16
-7x = -54 + -16

Combine like terms: -54 + -16 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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