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\left(5s+4\right)\times 2=\left(s-3\right)\times 9
Variable s cannot be equal to any of the values -\frac{4}{5},3 since division by zero is not defined. Multiply both sides of the equation by \left(s-3\right)\left(5s+4\right), the least common multiple of s-3,5s+4.
10s+8=\left(s-3\right)\times 9
Use the distributive property to multiply 5s+4 by 2.
10s+8=9s-27
Use the distributive property to multiply s-3 by 9.
10s+8-9s=-27
Subtract 9s from both sides.
s+8=-27
Combine 10s and -9s to get s.
s=-27-8
Subtract 8 from both sides.
s=-35
Subtract 8 from -27 to get -35.