To find the value of \( x \) in the equation \( 3x - 10 = 4y - 6 \), follow these steps:

### Step 1: Isolate the \( x \)-term
Start by adding 10 to both sides of the equation:
\[
3x = 4y - 6 + 10
\]
Simplifying the right side:
\[
3x = 4y + 4
\]

### Step 2: Solve for \( x \)
Now, divide both sides by 3 to solve for \( x \):
\[
x = \frac{4y + 4}{3}
\]

This is the value of \( x \) in terms of \( y \).

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Do you want more details on this solution or have any questions?

Here are 5 related questions:
1. What is the value of \( x \) if \( y = 2 \)?
2. How would the equation change if \( -10 \) became \( -8 \)?
3. What is the equation of the line formed by this equation in terms of \( x \) and \( y \)?
4. Can this equation be graphed? If so, what type of graph would it produce?
5. What is the slope of the line in the equation?

**Tip:** Always double-check your steps by substituting your final answer back into the original equation.

Learn how to solve the linear equation 3x - 10 = 4y - 6 step-by-step. This problem involves isolating variables and applying basic algebraic principles. Suitable for students in Grades 7-9.

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