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5x\times 7+2=5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x.
35x+2=5x
Multiply 5 and 7 to get 35.
35x+2-5x=0
Subtract 5x from both sides.
30x+2=0
Combine 35x and -5x to get 30x.
30x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2}{30}
Divide both sides by 30.
x=-\frac{1}{15}
Reduce the fraction \frac{-2}{30} to lowest terms by extracting and canceling out 2.