Solve for a
a=9
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3\left(a-4\right)=a+6
Variable a cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 3\left(a+6\right), the least common multiple of a+6,3.
3a-12=a+6
Use the distributive property to multiply 3 by a-4.
3a-12-a=6
Subtract a from both sides.
2a-12=6
Combine 3a and -a to get 2a.
2a=6+12
Add 12 to both sides.
2a=18
Add 6 and 12 to get 18.
a=\frac{18}{2}
Divide both sides by 2.
a=9
Divide 18 by 2 to get 9.
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