We are given the equation:

\[
4(3x - 10) = 44
\]

Let's solve for \( x \).

### Step 1: Expand the left side
Distribute the 4 across the terms inside the parentheses:

\[
4 \cdot 3x - 4 \cdot 10 = 12x - 40
\]

So the equation becomes:

\[
12x - 40 = 44
\]

### Step 2: Add 40 to both sides
To isolate the term with \( x \), add 40 to both sides of the equation:

\[
12x - 40 + 40 = 44 + 40
\]

This simplifies to:

\[
12x = 84
\]

### Step 3: Divide by 12
Now, divide both sides by 12 to solve for \( x \):

\[
x = \frac{84}{12}
\]

\[
x = 7
\]

### Solution:
The solution to the equation is \( x = 7 \).

Do you want any further details or have any questions?

Here are 5 related questions to consider:
1. What would the solution be for \( 4(2x - 5) = 28 \)?
2. How would the equation change if instead of \( 4(3x - 10) = 44 \), you had \( 5(3x - 10) = 50 \)?
3. What is the general method for solving linear equations with parentheses?
4. What happens if you have a negative coefficient in a similar equation, like \( -4(3x - 10) = -44 \)?
5. How do you solve for \( x \) if the equation contains fractions, e.g. \( \frac{1}{2}(6x - 4) = 10 \)?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the linear equation 4(3x − 10) = 44 with a detailed step-by-step solution. This problem focuses on algebraic concepts such as the distributive property and solving for x in linear equations. Suitable for students in Grades 6-8.

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