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4x+2x-16=x
Multiply both sides of the equation by 4, the least common multiple of 2,4.
6x-16=x
Combine 4x and 2x to get 6x.
6x-16-x=0
Subtract x from both sides.
5x-16=0
Combine 6x and -x to get 5x.
5x=16
Add 16 to both sides. Anything plus zero gives itself.
x=\frac{16}{5}
Divide both sides by 5.