Solve for x
x=\frac{1}{2}=0.5
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5\times 5=\left(x+2\right)\times 10
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+2\right), the least common multiple of 2+x,5.
25=\left(x+2\right)\times 10
Multiply 5 and 5 to get 25.
25=10x+20
Use the distributive property to multiply x+2 by 10.
10x+20=25
Swap sides so that all variable terms are on the left hand side.
10x=25-20
Subtract 20 from both sides.
10x=5
Subtract 20 from 25 to get 5.
x=\frac{5}{10}
Divide both sides by 10.
x=\frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
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