Question

what value of x makes this equation true?
\\(\frac{1}{7}x + 7.25 = 0.5\\)

Explanation:

Step1: Subtract 7.25 from both sides

To isolate the term with \( x \), we subtract 7.25 from both sides of the equation.
\[
\frac{1}{7}x + 7.25 - 7.25 = 0.5 - 7.25
\]
Simplifying both sides, we get:
\[
\frac{1}{7}x = -6.75
\]

Step2: Multiply both sides by 7

To solve for \( x \), we multiply both sides of the equation by 7, the reciprocal of \( \frac{1}{7} \).
\[
7\times\frac{1}{7}x = -6.75\times7
\]
Simplifying both sides, we find:
\[
x = -47.25
\]

Answer:

\( x = -47.25 \)