Solve for x
x=\frac{41}{42}\approx 0.976190476
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-5\left(8+3x\right)=27\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 15\left(x-3\right), the least common multiple of 9-3x,5.
-40-15x=27\left(x-3\right)
Use the distributive property to multiply -5 by 8+3x.
-40-15x=27x-81
Use the distributive property to multiply 27 by x-3.
-40-15x-27x=-81
Subtract 27x from both sides.
-40-42x=-81
Combine -15x and -27x to get -42x.
-42x=-81+40
Add 40 to both sides.
-42x=-41
Add -81 and 40 to get -41.
x=\frac{-41}{-42}
Divide both sides by -42.
x=\frac{41}{42}
Fraction \frac{-41}{-42} can be simplified to \frac{41}{42} by removing the negative sign from both the numerator and the denominator.
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