Question

Inverse 2(3w - 5) = 14

Answer 1

To solve the equation \( 2(3w - 5) = 14 \), we can follow these steps:

1. **Distribute the 2** on the left side:
\[
2 \cdot 3w - 2 \cdot 5 = 14
\]
This simplifies to:
\[
6w - 10 = 14
\]

2. **Add 10** to both sides to isolate the term with \( w \):
\[
6w - 10 + 10 = 14 + 10
\]
Simplifying this gives:
\[
6w = 24
\]

3. **Divide by 6** to solve for \( w \):
\[
w = \frac{24}{6}
\]
This simplifies to:
\[
w = 4
\]

The solution to the equation is:
\[
\boxed{4}
\]

Answer 2

Distributive Property 2(3w5) = 14

Answer 3

It looks like there might be a small typo in your equation: \(2(3w5) = 14\). However, I will interpret it as \(2(3w - 5) = 14\), but if that’s not what you intended, please clarify.

Assuming you meant \(2(3w - 5) = 14\), let's solve it using the distributive property:

1. **Distribute the 2** to both terms inside the parentheses:
\[
2 \cdot 3w - 2 \cdot 5 = 14
\]
This simplifies to:
\[
6w - 10 = 14
\]

2. **Add 10** to both sides:
\[
6w - 10 + 10 = 14 + 10
\]
Which gives:
\[
6w = 24
\]

3. **Divide by 6**:
\[
w = \frac{24}{6}
\]
This simplifies to:
\[
w = 4
\]

So the solution is:
\[
\boxed{4}
\]

If you meant to ask something different, such as \(2(3w \cdot 5) = 14\), please let me know!