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4\times 4=5+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 x,4x.
16=5+4x
Multiply 4 and 4 to get 16.
5+4x=16
Swap sides so that all variable terms are on the left hand side.
4x=16-5
Subtract 5 from both sides.
4x=11
Subtract 5 from 16 to get 11.
x=\frac{11}{4}
Divide both sides by 4.