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:

\( x = -47.25 \)