Question

solve and check your solution.
\\(\frac{1}{7}x = -8\\)
\\(x = \square\\)

Explanation:

Step1: Multiply both sides by 7

To solve for \( x \) in the equation \( \frac{1}{7}x = -8 \), we multiply both sides of the equation by 7 to isolate \( x \).

$$ 7\times\frac{1}{7}x = 7\times(-8) $$

Step2: Simplify both sides

Simplifying the left side, \( 7\times\frac{1}{7}x = x \). Simplifying the right side, \( 7\times(-8)= -56 \). So we get \( x = -56 \).

Step3: Check the solution

Substitute \( x = -56 \) back into the original equation \( \frac{1}{7}x \).

$$ \frac{1}{7}\times(-56)= -8 $$

The left side equals the right side, so the solution is correct.

Answer:

\( x = -56 \)