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2+|3x-4|=16
Swap sides so that all variable terms are on the left hand side.
|3x-4|=16-2
Subtract 2 from both sides.
|3x-4|=14
Subtract 2 from 16 to get 14.
3x-4=14 3x-4=-14
Use the definition of absolute value.
3x=18 3x=-10
Add 4 to both sides of the equation.
x=6 x=-\frac{10}{3}
Divide both sides by 3.