https://file.aiquickdraw.com/mathbot/file/1725576617530ipb151u4.jpg

The equation provided in the image is:

\[
2(5x + 6) - 7 = 35
\]

Let's solve this step-by-step:

1. **Expand the parentheses**:
   \[
   2 \cdot 5x + 2 \cdot 6 - 7 = 35
   \]
   This simplifies to:
   \[
   10x + 12 - 7 = 35
   \]

2. **Combine like terms**:
   \[
   10x + 5 = 35
   \]

3. **Isolate the variable term**:
   Subtract 5 from both sides:
   \[
   10x = 30
   \]

4. **Solve for \(x\)**:
   Divide both sides by 10:
   \[
   x = 3
   \]

### Solution:
\[
x = 3
\]

Would you like more details on any step or have any questions?

### Further Related Questions:
1. How do you solve equations with parentheses and distribution?
2. What are the steps to isolate a variable in an equation?
3. How do you check if a solution to an equation is correct?
4. How do you solve linear equations with variables on both sides?
5. What are some common mistakes to avoid when solving equations?

### Tip:
Always double-check your work by substituting the solution back into the original equation to verify it satisfies the equation.

Learn how to solve the linear equation 2(5x + 6) - 7 = 35 with a detailed step-by-step solution. This problem covers key algebraic concepts, including distribution, combining like terms, and isolating variables. Suitable for students in Grades 6-8.

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