a number divided by eight, plus seven, is fifty.

Let's solve the equation step by step.

We are given:

\[
\frac{x}{8} + 7 = 50
\]

### Step 1: Subtract 7 from both sides
To isolate the term with \( x \), subtract 7 from both sides of the equation:

\[
\frac{x}{8} + 7 - 7 = 50 - 7
\]

This simplifies to:

\[
\frac{x}{8} = 43
\]

### Step 2: Multiply both sides by 8
Now, multiply both sides of the equation by 8 to solve for \( x \):

\[
x = 43 \times 8
\]

\[
x = 344
\]

So, the value of \( x \) is 344.

Would you like more details on any of the steps, or do you have any questions?

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Here are 5 related questions:
1. How would the solution change if the equation were \(\frac{x}{8} + 7 = 60\)?
2. What happens if the divisor changes from 8 to another number, say 10?
3. How can we solve for \( x \) if the equation includes negative numbers?
4. What if the equation was \( \frac{x}{8} + 7 = 50 + y \)? How would you solve for both \( x \) and \( y \)?
5. Can you write this problem as an inequality and solve it?

**Tip:** Always perform inverse operations to isolate the variable.

A number divided by eight, plus seven, is fifty.

Learn how to solve the linear equation where a number divided by eight, plus seven, equals fifty. Follow a step-by-step solution to isolate the variable and solve for x. Ideal for students in Grades 6-8 looking to strengthen their algebra skills.

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