Solve for x
x=-\frac{1}{15}\approx -0.066666667
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6\times 3+30x\times 4=5\times 2
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 5x,6x.
18+30x\times 4=5\times 2
Multiply 6 and 3 to get 18.
18+120x=5\times 2
Multiply 30 and 4 to get 120.
18+120x=10
Multiply 5 and 2 to get 10.
120x=10-18
Subtract 18 from both sides.
120x=-8
Subtract 18 from 10 to get -8.
x=\frac{-8}{120}
Divide both sides by 120.
x=-\frac{1}{15}
Reduce the fraction \frac{-8}{120} to lowest terms by extracting and canceling out 8.
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