# How do you solve 5M + 24 = 51 + 2M?

Dec 5, 2016

$M = 9$

#### Explanation:

First, isolate the $M$ terms on one side of the equation and the constants on the other while keeping the equation balanced:

$5 M + 24 - 24 - 2 M = 51 + 2 M - 24 - 2 M$

$5 M - 2 M + 24 - 24 = 51 - 24 + 2 M - 2 M$

$5 M - 2 M + 0 = 51 - 24 + 0$

$5 M - 2 M = 51 - 24$

Now consolidate like terms:

$\left(5 - 2\right) M = 27$

$3 M = 27$

Finally, solve for $M$ while keeping the equation balanced:
$\frac{3 M}{3} = \frac{27}{3}$

$\frac{\cancel{3} M}{\cancel{3}} = \frac{27}{3}$

$M = \frac{27}{3}$

$M = 9$