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5=90\left(4x+1\right)
Variable x cannot be equal to -\frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 2\left(4x+1\right).
5=360x+90
Use the distributive property to multiply 90 by 4x+1.
360x+90=5
Swap sides so that all variable terms are on the left hand side.
360x=5-90
Subtract 90 from both sides.
360x=-85
Subtract 90 from 5 to get -85.
x=\frac{-85}{360}
Divide both sides by 360.
x=-\frac{17}{72}
Reduce the fraction \frac{-85}{360} to lowest terms by extracting and canceling out 5.