Solve for x in simplest form.
10, equals, start fraction, 3, divided by, 5, end fraction, left parenthesis, x, plus, 5, right parenthesis

The given equation is:

\[
10 = \frac{3}{5}(x + 5)
\]

To solve for \( x \), follow these steps:

1. **Eliminate the fraction** by multiplying both sides of the equation by 5:

\[
5 \times 10 = 5 \times \frac{3}{5}(x + 5)
\]

This simplifies to:

\[
50 = 3(x + 5)
\]

2. **Distribute** the 3 on the right side:

\[
50 = 3x + 15
\]

3. **Isolate** the term with \( x \) by subtracting 15 from both sides:

\[
50 - 15 = 3x
\]

This simplifies to:

\[
35 = 3x
\]

4. **Solve for** \( x \) by dividing both sides by 3:

\[
x = \frac{35}{3}
\]

So, the solution for \( x \) in simplest form is:

\[
x = \frac{35}{3}
\]

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

Here are 5 related questions:
1. How do you solve equations with variables on both sides?
2. What is the process for simplifying complex fractions in equations?
3. How do you solve equations involving distribution and combining like terms?
4. Can you explain how to clear fractions by multiplying both sides of an equation?
5. What are the steps to solve multi-step linear equations?

**Tip:** When solving equations, always aim to isolate the variable on one side to simplify the process.

Learn how to solve the equation 10 = (3/5)(x + 5) step-by-step with a detailed solution. This problem involves solving equations with fractions and using the distributive property. Suitable for students in Grades 7-9.

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