Solve for a
a=10
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\left(a+2\right)\times 5=\left(a+5\right)\times 4
Variable a cannot be equal to any of the values -5,-2 since division by zero is not defined. Multiply both sides of the equation by \left(a+2\right)\left(a+5\right), the least common multiple of a+5,a+2.
5a+10=\left(a+5\right)\times 4
Use the distributive property to multiply a+2 by 5.
5a+10=4a+20
Use the distributive property to multiply a+5 by 4.
5a+10-4a=20
Subtract 4a from both sides.
a+10=20
Combine 5a and -4a to get a.
a=20-10
Subtract 10 from both sides.
a=10
Subtract 10 from 20 to get 10.
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