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\frac{3}{2}=\frac{x}{4}
Divide both sides by 2.
\frac{3}{2}\times 4=x
Multiply both sides by 4.
\frac{3\times 4}{2}=x
Express \frac{3}{2}\times 4 as a single fraction.
\frac{12}{2}=x
Multiply 3 and 4 to get 12.
6=x
Divide 12 by 2 to get 6.
x=6
Swap sides so that all variable terms are on the left hand side.