Question

$$\frac{ 6 }{ 1.5 } = \frac{ 5.5 }{ R-x }$$

Answer

x=R-1.375

Solution


Simplify  \(\frac{6}{1.5}\)  to  \(4\).
\[4=\frac{5.5}{R-x}\]
Multiply both sides by \(R-x\).
\[4(R-x)=5.5\]
Divide both sides by \(4\).
\[R-x=\frac{5.5}{4}\]
Simplify  \(\frac{5.5}{4}\)  to  \(1.375\).
\[R-x=1.375\]
Subtract \(R\) from both sides.
\[-x=1.375-R\]
Multiply both sides by \(-1\).
\[x=-1.375+R\]
Regroup terms.
\[x=R-1.375\]