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3\left(x+10\right)=5x
Variable x cannot be equal to -10 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+10\right), the least common multiple of 5,10+x.
3x+30=5x
Use the distributive property to multiply 3 by x+10.
3x+30-5x=0
Subtract 5x from both sides.
-2x+30=0
Combine 3x and -5x to get -2x.
-2x=-30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-30}{-2}
Divide both sides by -2.
x=15
Divide -30 by -2 to get 15.