Solve for x
x=-\frac{1}{8}=-0.125
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\left(15x+5\right)\times 3=\left(x+2\right)\times 5
Variable x cannot be equal to any of the values -2,-\frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 5\left(x+2\right)\left(3x+1\right), the least common multiple of x+2,15x+5.
45x+15=\left(x+2\right)\times 5
Use the distributive property to multiply 15x+5 by 3.
45x+15=5x+10
Use the distributive property to multiply x+2 by 5.
45x+15-5x=10
Subtract 5x from both sides.
40x+15=10
Combine 45x and -5x to get 40x.
40x=10-15
Subtract 15 from both sides.
40x=-5
Subtract 15 from 10 to get -5.
x=\frac{-5}{40}
Divide both sides by 40.
x=-\frac{1}{8}
Reduce the fraction \frac{-5}{40} to lowest terms by extracting and canceling out 5.
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