Solve for a
a=-42
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\left(a+6\right)\times 5=\left(a-3\right)\times 4
Variable a cannot be equal to any of the values -6,3 since division by zero is not defined. Multiply both sides of the equation by \left(a-3\right)\left(a+6\right), the least common multiple of a-3,a+6.
5a+30=\left(a-3\right)\times 4
Use the distributive property to multiply a+6 by 5.
5a+30=4a-12
Use the distributive property to multiply a-3 by 4.
5a+30-4a=-12
Subtract 4a from both sides.
a+30=-12
Combine 5a and -4a to get a.
a=-12-30
Subtract 30 from both sides.
a=-42
Subtract 30 from -12 to get -42.
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