3x+12=5x-16

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Solution for 3x+12=5x-16 equation:


Simplifying
3x + 12 = 5x + -16

Reorder the terms:
12 + 3x = 5x + -16

Reorder the terms:
12 + 3x = -16 + 5x

Solving
12 + 3x = -16 + 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.
12 + 3x + -5x = -16 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
12 + -2x = -16 + 0
12 + -2x = -16

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

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

Combine like terms: -16 + -12 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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