5x-12=2x-16

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


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

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

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

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 5x + -2x = -16 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-12 + 3x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 3x = -16 + 0
-12 + 3x = -16

Add '12' to each side of the equation.
-12 + 12 + 3x = -16 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -16 + 12
3x = -16 + 12

Combine like terms: -16 + 12 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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