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3\times 3x=5\left(x+2\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
9x=5\left(x+2\right)
Multiply 3 and 3 to get 9.
9x=5x+10
Use the distributive property to multiply 5 by x+2.
9x-5x=10
Subtract 5x from both sides.
4x=10
Combine 9x and -5x to get 4x.
x=\frac{10}{4}
Divide both sides by 4.
x=\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.