Question

Solve for x


20=5−start fraction3 8end fractionx


(1 point)
Responses

40
40

−45/8
negative 45 eighths

45/8
45 eighths

−40

Answer 1

To solve for \( x \) in the equation

\[
20 = 5 - \frac{3}{8}x,
\]

let's first isolate the term with \( x \). Start by subtracting 5 from both sides:

\[
20 - 5 = - \frac{3}{8}x.
\]

This simplifies to:

\[
15 = -\frac{3}{8}x.
\]

Next, to solve for \( x \), multiply both sides by -1:

\[
-15 = \frac{3}{8}x.
\]

Now, to eliminate the fraction, multiply both sides by the reciprocal of \(\frac{3}{8}\), which is \(\frac{8}{3}\):

\[
-15 \cdot \frac{8}{3} = x.
\]

Calculating this gives:

\[
x = -\frac{120}{3} = -40.
\]

Thus, the solution for \( x \) is

\[
\boxed{-40}.
\]