Solve for x
x = \frac{5}{2} = 2\frac{1}{2} = 2.5
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3\times 5=2\left(x+5\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+5\right), the least common multiple of x+5,3.
15=2\left(x+5\right)
Multiply 3 and 5 to get 15.
15=2x+10
Use the distributive property to multiply 2 by x+5.
2x+10=15
Swap sides so that all variable terms are on the left hand side.
2x=15-10
Subtract 10 from both sides.
2x=5
Subtract 10 from 15 to get 5.
x=\frac{5}{2}
Divide both sides by 2.
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