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4\times 7=4x\times 5+3
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.
28=4x\times 5+3
Multiply 4 and 7 to get 28.
28=20x+3
Multiply 4 and 5 to get 20.
20x+3=28
Swap sides so that all variable terms are on the left hand side.
20x=28-3
Subtract 3 from both sides.
20x=25
Subtract 3 from 28 to get 25.
x=\frac{25}{20}
Divide both sides by 20.
x=\frac{5}{4}
Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.