Solve for k
k=4
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\frac{1}{2}k-3+\frac{3}{4}k=2
Add \frac{3}{4}k to both sides.
\frac{5}{4}k-3=2
Combine \frac{1}{2}k and \frac{3}{4}k to get \frac{5}{4}k.
\frac{5}{4}k=2+3
Add 3 to both sides.
\frac{5}{4}k=5
Add 2 and 3 to get 5.
k=5\times \frac{4}{5}
Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.
k=4
Cancel out 5 and 5.
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