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5x-1=\frac{7}{4}\times 8
Multiply both sides by 8.
5x-1=\frac{7\times 8}{4}
Express \frac{7}{4}\times 8 as a single fraction.
5x-1=\frac{56}{4}
Multiply 7 and 8 to get 56.
5x-1=14
Divide 56 by 4 to get 14.
5x=14+1
Add 1 to both sides.
5x=15
Add 14 and 1 to get 15.
x=\frac{15}{5}
Divide both sides by 5.
x=3
Divide 15 by 5 to get 3.