Question

What is the result after distributing? 1/4(2x−4)=14

Answer 1

To solve the equation \( \frac{1}{4}(2x - 4) = 14 \), we first distribute \( \frac{1}{4} \) to the terms inside the parentheses:

\[
\frac{1}{4} \cdot 2x - \frac{1}{4} \cdot 4
\]

Calculating these gives:

\[
\frac{2x}{4} - \frac{4}{4} = \frac{x}{2} - 1
\]

So, we can rewrite the equation as:

\[
\frac{x}{2} - 1 = 14
\]

Next, we will isolate \( x \) by adding 1 to both sides:

\[
\frac{x}{2} = 14 + 1
\]

This simplifies to:

\[
\frac{x}{2} = 15
\]

Now, we multiply both sides by 2 to solve for \( x \):

\[
x = 15 \cdot 2
\]

So,

\[
x = 30
\]

Thus, the final result is:

\[
\boxed{30}
\]