Question

$$IF3(5x-2)=11xFINDx$$

Answer

x=(11*xFINDx)/(15*IF)+2/5

Solution


Regroup terms.
\[3IF(5x-2)=11xFINDx\]
Divide both sides by \(3\).
\[IF(5x-2)=\frac{11xFINDx}{3}\]
Divide both sides by \(IF\).
\[5x-2=\frac{\frac{11xFINDx}{3}}{IF}\]
Simplify  \(\frac{\frac{11xFINDx}{3}}{IF}\)  to  \(\frac{11xFINDx}{3IF}\).
\[5x-2=\frac{11xFINDx}{3IF}\]
Add \(2\) to both sides.
\[5x=\frac{11xFINDx}{3IF}+2\]
Divide both sides by \(5\).
\[x=\frac{\frac{11xFINDx}{3IF}+2}{5}\]
Simplify  \(\frac{\frac{11xFINDx}{3IF}+2}{5}\)  to  \(\frac{\frac{11xFINDx}{3IF}}{5}+\frac{2}{5}\).
\[x=\frac{\frac{11xFINDx}{3IF}}{5}+\frac{2}{5}\]
Simplify  \(\frac{\frac{11xFINDx}{3IF}}{5}\)  to  \(\frac{11xFINDx}{3\times 5IF}\).
\[x=\frac{11xFINDx}{3\times 5IF}+\frac{2}{5}\]
Simplify  \(3\times 5IF\)  to  \(15IF\).
\[x=\frac{11xFINDx}{15IF}+\frac{2}{5}\]