Let's solve the equation:

\[
\frac{1}{2}(x - 5) = \frac{1}{4}(x - 4) + 7
\]

**Step 1: Distribute and simplify fractions.**

First, distribute the fractions across the parentheses:

\[
\frac{1}{2}x - \frac{1}{2} \cdot 5 = \frac{1}{4}x - \frac{1}{4} \cdot 4 + 7
\]

Simplify the multiplication:

\[
\frac{1}{2}x - \frac{5}{2} =

Learn how to solve the equation 1/2(x-5)=1/4(x-4)+7 with a detailed step-by-step solution. This problem involves equations and fractions, requiring distribution and simplification steps. Suitable for students in Grades 7-9.

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