Solve for x
x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333
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5\left(x+3\right)=2x+5
Variable x cannot be equal to -\frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 5\left(2x+5\right), the least common multiple of 2x+5,5.
5x+15=2x+5
Use the distributive property to multiply 5 by x+3.
5x+15-2x=5
Subtract 2x from both sides.
3x+15=5
Combine 5x and -2x to get 3x.
3x=5-15
Subtract 15 from both sides.
3x=-10
Subtract 15 from 5 to get -10.
x=\frac{-10}{3}
Divide both sides by 3.
x=-\frac{10}{3}
Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.
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