Question

Solve for x: 4(3x + 2) + 3 = 35.
x = __

Answer 1

are you sure this is correct

Answer 2

To solve the equation \( 4(3x + 2) + 3 = 35 \), follow these steps:

1. Distribute \( 4 \) into \( (3x + 2) \):
\[
4(3x) + 4(2) + 3 = 35
\]
This simplifies to:
\[
12x + 8 + 3 = 35
\]

2. Combine like terms on the left side:
\[
12x + 11 = 35
\]

3. Subtract \( 11 \) from both sides to isolate the term with \( x \):
\[
12x = 35 - 11
\]
Simplifying gives:
\[
12x = 24
\]

4. Divide both sides by \( 12 \):
\[
x = \frac{24}{12}
\]
Simplifying gives:
\[
x = 2
\]

Thus, the solution is:
\[
x = 2
\]

Answer 3

Let's double-check the solution step by step to ensure accuracy.

The original equation is:
\[
4(3x + 2) + 3 = 35
\]

1. Start by distributing the \(4\) into the parentheses:
\[
4 \cdot 3x + 4 \cdot 2 + 3 = 35
\]
This simplifies to:
\[
12x + 8 + 3 = 35
\]

2. Combine like terms on the left side:
\[
12x + 11 = 35
\]

3. Subtract \(11\) from both sides:
\[
12x = 35 - 11
\]
Simplifying gives:
\[
12x = 24
\]

4. Divide both sides by \(12\):
\[
x = \frac{24}{12}
\]
Simplifying gives:
\[
x = 2
\]

The calculations confirm that the solution is indeed \(x = 2\). If you have any further questions or concerns, feel free to ask!