Question
Solve for x and simply your answer. -5/2x=-14
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the equation
\[
-\frac{5}{2}x = -14,
\]
we can first eliminate the negative sign from both sides:
\[
\frac{5}{2}x = 14.
\]
Next, we can isolate \( x \) by multiplying both sides by the reciprocal of \(\frac{5}{2}\), which is \(\frac{2}{5}\):
\[
x = 14 \cdot \frac{2}{5}.
\]
Now, calculate \( 14 \cdot \frac{2}{5} \):
\[
x = \frac{28}{5}.
\]
Therefore, the simplified solution for \( x \) is
\[
\boxed{\frac{28}{5}}.
\]
\[
-\frac{5}{2}x = -14,
\]
we can first eliminate the negative sign from both sides:
\[
\frac{5}{2}x = 14.
\]
Next, we can isolate \( x \) by multiplying both sides by the reciprocal of \(\frac{5}{2}\), which is \(\frac{2}{5}\):
\[
x = 14 \cdot \frac{2}{5}.
\]
Now, calculate \( 14 \cdot \frac{2}{5} \):
\[
x = \frac{28}{5}.
\]
Therefore, the simplified solution for \( x \) is
\[
\boxed{\frac{28}{5}}.
\]