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Solve for [tex]\( m \)[/tex].

[tex]\[ \frac{5m}{2} = 7 + 23 \][/tex]


Sagot :

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].