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\frac{7}{4}=x+1
Divide both sides by 4.
x+1=\frac{7}{4}
Swap sides so that all variable terms are on the left hand side.
x=\frac{7}{4}-1
Subtract 1 from both sides.
x=\frac{7}{4}-\frac{4}{4}
Convert 1 to fraction \frac{4}{4}.
x=\frac{7-4}{4}
Since \frac{7}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.
x=\frac{3}{4}
Subtract 4 from 7 to get 3.