Answer
$m=18$.
Work Step by Step
The given expression is
$\Rightarrow \frac{2}{7}m+4=\frac{3}{7}(5)+7$
Clear the parentheses.
$\Rightarrow \frac{2}{7}m+4=\frac{15}{7}+7$
Multiply by the LCD $=7$.
$\Rightarrow 7\left ( \frac{2}{7}m+4 \right )=7\left (\frac{15}{7}+7\right )$
Use distributive property.
$\Rightarrow 7\left ( \frac{2}{7}m\right )+7\left ( 4 \right )=7\left (\frac{15}{7}\right )+7(7)$
Simplify.
$\Rightarrow 2m+28=15+49$
Add like terms.
$\Rightarrow 2m+28=64$
Subtract $28$ from both sides.
$\Rightarrow 2m+28-28=64-28$
Simplify.
$\Rightarrow 2m=36$
Divide both sides by $2$.
$\Rightarrow \frac{2m}{2}=\frac{36}{2}$
Simplify.
$\Rightarrow m=18$.
