Question

(\frac{m - 2}{3} - \frac{m + 4}{4} = 5)

Explanation:

Step1: Find common denominator

The denominators are 3 and 4, so the common denominator is 12. Multiply each term by 12:
$$12\times\frac{m - 2}{3}-12\times\frac{m + 4}{4}=12\times5$$
Simplify each term: \(4(m - 2)-3(m + 4)=60\)

Step2: Expand brackets

Expand \(4(m - 2)\) and \(3(m + 4)\):
\(4m-8 - 3m - 12 = 60\)

Step3: Combine like terms

Combine \(4m-3m\) and \(-8-12\):
\(m-20 = 60\)

Step4: Solve for m

Add 20 to both sides:
\(m=60 + 20=80\)

Answer:

\(m = 80\)