Solve for z
z=\frac{5}{19}\approx 0.263157895
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\frac{1}{5}z-8=4z+1-10
Divide 20 by 2 to get 10.
\frac{1}{5}z-8=4z-9
Subtract 10 from 1 to get -9.
\frac{1}{5}z-8-4z=-9
Subtract 4z from both sides.
-\frac{19}{5}z-8=-9
Combine \frac{1}{5}z and -4z to get -\frac{19}{5}z.
-\frac{19}{5}z=-9+8
Add 8 to both sides.
-\frac{19}{5}z=-1
Add -9 and 8 to get -1.
z=-\left(-\frac{5}{19}\right)
Multiply both sides by -\frac{5}{19}, the reciprocal of -\frac{19}{5}.
z=\frac{5}{19}
Multiply -1 and -\frac{5}{19} to get \frac{5}{19}.
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