Question

$$4(3m-7)=9(m+3)$$

Answer

m=55/3

Solution


Expand.
\[12m-28=9m+27\]
Add \(28\) to both sides.
\[12m=9m+27+28\]
Simplify  \(9m+27+28\)  to  \(9m+55\).
\[12m=9m+55\]
Subtract \(9m\) from both sides.
\[12m-9m=55\]
Simplify  \(12m-9m\)  to  \(3m\).
\[3m=55\]
Divide both sides by \(3\).
\[m=\frac{55}{3}\]

Decimal Form: 18.333333