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5\times 5+30x\left(-\frac{1}{3}\right)=2\times 11
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30x, the least common multiple of 6x,3,15x.
25+30x\left(-\frac{1}{3}\right)=2\times 11
Multiply 5 and 5 to get 25.
25-10x=2\times 11
Multiply 30 and -\frac{1}{3} to get -10.
25-10x=22
Multiply 2 and 11 to get 22.
-10x=22-25
Subtract 25 from both sides.
-10x=-3
Subtract 25 from 22 to get -3.
x=\frac{-3}{-10}
Divide both sides by -10.
x=\frac{3}{10}
Fraction \frac{-3}{-10} can be simplified to \frac{3}{10} by removing the negative sign from both the numerator and the denominator.