Solve for a
a=59
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\left(2a+1\right)\times 3=\left(a-8\right)\times 7
Variable a cannot be equal to any of the values -\frac{1}{2},8 since division by zero is not defined. Multiply both sides of the equation by \left(a-8\right)\left(2a+1\right), the least common multiple of a-8,2a+1.
6a+3=\left(a-8\right)\times 7
Use the distributive property to multiply 2a+1 by 3.
6a+3=7a-56
Use the distributive property to multiply a-8 by 7.
6a+3-7a=-56
Subtract 7a from both sides.
-a+3=-56
Combine 6a and -7a to get -a.
-a=-56-3
Subtract 3 from both sides.
-a=-59
Subtract 3 from -56 to get -59.
a=59
Multiply both sides by -1.
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