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5\times 3+5x\times 2=4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5x.
15+5x\times 2=4
Multiply 5 and 3 to get 15.
15+10x=4
Multiply 5 and 2 to get 10.
10x=4-15
Subtract 15 from both sides.
10x=-11
Subtract 15 from 4 to get -11.
x=\frac{-11}{10}
Divide both sides by 10.
x=-\frac{11}{10}
Fraction \frac{-11}{10} can be rewritten as -\frac{11}{10} by extracting the negative sign.