Sure! Let's solve the equation step-by-step.
Given equation:
[tex]\[
\frac{5m}{2} = 7 + 23
\][/tex]
1. Simplify the right-hand side:
[tex]\[
7 + 23 = 30
\][/tex]
So, the equation becomes:
[tex]\[
\frac{5m}{2} = 30
\][/tex]
2. Isolate the term containing [tex]\( m \)[/tex] by eliminating the fraction. We can do this by multiplying both sides of the equation by 2:
[tex]\[
2 \cdot \frac{5m}{2} = 30 \cdot 2
\][/tex]
This simplifies to:
[tex]\[
5m = 60
\][/tex]
3. Solve for [tex]\( m \)[/tex] by dividing both sides by 5:
[tex]\[
m = \frac{60}{5}
\][/tex]
4. Perform the division:
[tex]\[
\frac{60}{5} = 12
\][/tex]
So, the value of [tex]\( m \)[/tex] is:
[tex]\[
m = 12
\][/tex]
Therefore, the solution to the equation [tex]\(\frac{5m}{2} = 7 + 23\)[/tex] is [tex]\( \boxed{12} \)[/tex].
