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30-2\times 2x=3\times 5x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
30-4x=3\times 5x
Multiply -2 and 2 to get -4.
30-4x=15x
Multiply 3 and 5 to get 15.
30-4x-15x=0
Subtract 15x from both sides.
30-19x=0
Combine -4x and -15x to get -19x.
-19x=-30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-30}{-19}
Divide both sides by -19.
x=\frac{30}{19}
Fraction \frac{-30}{-19} can be simplified to \frac{30}{19} by removing the negative sign from both the numerator and the denominator.