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10x-1-\frac{1}{2}x=4
Subtract \frac{1}{2}x from both sides.
\frac{19}{2}x-1=4
Combine 10x and -\frac{1}{2}x to get \frac{19}{2}x.
\frac{19}{2}x=4+1
Add 1 to both sides.
\frac{19}{2}x=5
Add 4 and 1 to get 5.
x=5\times \frac{2}{19}
Multiply both sides by \frac{2}{19}, the reciprocal of \frac{19}{2}.
x=\frac{5\times 2}{19}
Express 5\times \frac{2}{19} as a single fraction.
x=\frac{10}{19}
Multiply 5 and 2 to get 10.