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4=4x\times \frac{1}{4}+4x\times \frac{1}{4}
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,4.
4=x+4x\times \frac{1}{4}
Cancel out 4 and 4.
4=x+x
Cancel out 4 and 4.
4=2x
Combine x and x to get 2x.
2x=4
Swap sides so that all variable terms are on the left hand side.
x=\frac{4}{2}
Divide both sides by 2.
x=2
Divide 4 by 2 to get 2.