5x-2=12x-16

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Solution for 5x-2=12x-16 equation:


Simplifying
5x + -2 = 12x + -16

Reorder the terms:
-2 + 5x = 12x + -16

Reorder the terms:
-2 + 5x = -16 + 12x

Solving
-2 + 5x = -16 + 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.
-2 + 5x + -12x = -16 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-2 + -7x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -7x = -16 + 0
-2 + -7x = -16

Add '2' to each side of the equation.
-2 + 2 + -7x = -16 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -16 + 2
-7x = -16 + 2

Combine like terms: -16 + 2 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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