Question

$$\frac{15}{4}-7x=9$$

Answer

x=-3/4

Solution


Subtract \(\frac{15}{4}\) from both sides.
\[-7x=9-\frac{15}{4}\]
Simplify  \(9-\frac{15}{4}\)  to  \(\frac{21}{4}\).
\[-7x=\frac{21}{4}\]
Divide both sides by \(-7\).
\[x=-\frac{\frac{21}{4}}{7}\]
Simplify  \(\frac{\frac{21}{4}}{7}\)  to  \(\frac{21}{4\times 7}\).
\[x=-\frac{21}{4\times 7}\]
Simplify  \(4\times 7\)  to  \(28\).
\[x=-\frac{21}{28}\]
Simplify  \(\frac{21}{28}\)  to  \(\frac{3}{4}\).
\[x=-\frac{3}{4}\]

Decimal Form: -0.75