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4x\times \frac{3}{4}+4\times 4=4x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4,x.
3x+4\times 4=4x
Cancel out 4 and 4.
3x+16=4x
Multiply 4 and 4 to get 16.
3x+16-4x=0
Subtract 4x from both sides.
-x+16=0
Combine 3x and -4x to get -x.
-x=-16
Subtract 16 from both sides. Anything subtracted from zero gives its negation.
x=16
Multiply both sides by -1.