Question

Solve for x in simplest form.

7 = 1/5 (6x + 5)

Answer 1

To solve for \( x \) in the equation

\[
7 = \frac{1}{5}(6x + 5),
\]

first, we can eliminate the fraction by multiplying both sides of the equation by 5:

\[
5 \cdot 7 = 6x + 5.
\]

This simplifies to:

\[
35 = 6x + 5.
\]

Next, we subtract 5 from both sides:

\[
35 - 5 = 6x,
\]

which simplifies to:

\[
30 = 6x.
\]

Now, divide both sides by 6 to isolate \( x \):

\[
x = \frac{30}{6}.
\]

This simplifies to:

\[
x = 5.
\]

Thus, the solution is

\[
\boxed{5}.
\]