Solve for a
a=-6
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\left(a-4\right)\times 2=\left(a+2\right)\times 5
Variable a cannot be equal to any of the values -2,4 since division by zero is not defined. Multiply both sides of the equation by \left(a-4\right)\left(a+2\right), the least common multiple of a+2,a-4.
2a-8=\left(a+2\right)\times 5
Use the distributive property to multiply a-4 by 2.
2a-8=5a+10
Use the distributive property to multiply a+2 by 5.
2a-8-5a=10
Subtract 5a from both sides.
-3a-8=10
Combine 2a and -5a to get -3a.
-3a=10+8
Add 8 to both sides.
-3a=18
Add 10 and 8 to get 18.
a=\frac{18}{-3}
Divide both sides by -3.
a=-6
Divide 18 by -3 to get -6.
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