Question

Solve the equation. Check your answer.
25equalsStartFraction x Over 2 EndFraction
plus4

Answer 1

To solve the equation

\[
25 = \frac{x}{2} + 4,
\]

we start by isolating \(\frac{x}{2}\). First, we subtract 4 from both sides:

\[
25 - 4 = \frac{x}{2}.
\]

This simplifies to:

\[
21 = \frac{x}{2}.
\]

Next, to eliminate the fraction, we multiply both sides by 2:

\[
2 \cdot 21 = x.
\]

This gives us:

\[
x = 42.
\]

### Checking the answer
Now, we will substitute \(x = 42\) back into the original equation to verify:

\[
25 = \frac{42}{2} + 4.
\]

Calculating \(\frac{42}{2}\):

\[
\frac{42}{2} = 21.
\]

Now substituting back:

\[
25 = 21 + 4.
\]

Calculating the right side:

\[
21 + 4 = 25.
\]

Since both sides of the equation are equal, our solution is confirmed.

Thus, the final answer is

\[
\boxed{42}.
\]