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by-3\left(x+1\right)=3b\left(30\times 18\right)
Multiply both sides of the equation by 3b, the least common multiple of 3,b.
by-3x-3=3b\left(30\times 18\right)
Use the distributive property to multiply -3 by x+1.
-3x-3=3b\left(30\times 18\right)-by
Subtract by from both sides.
-3x=3b\left(30\times 18\right)-by+3
Add 3 to both sides.
-3x=3+1620b-by
The equation is in standard form.
\frac{-3x}{-3}=\frac{3+1620b-by}{-3}
Divide both sides by -3.
x=\frac{3+1620b-by}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{by}{3}-540b-1
Divide 1620b-by+3 by -3.