Question

question
solve for x.
-43 = \frac{x}{5} - 47

Explanation:

Step1: Add 47 to both sides

To isolate the term with \( x \), we add 47 to both sides of the equation. This gives us:
\( -43 + 47 = \frac{x}{5} - 47 + 47 \)
Simplifying the left side: \( -43 + 47 = 4 \)
Simplifying the right side: \( \frac{x}{5} - 47 + 47 = \frac{x}{5} \)
So now the equation is \( 4 = \frac{x}{5} \)

Step2: Multiply both sides by 5

To solve for \( x \), we multiply both sides of the equation \( 4 = \frac{x}{5} \) by 5. This gives us:
\( 4 \times 5 = \frac{x}{5} \times 5 \)
Simplifying the left side: \( 4 \times 5 = 20 \)
Simplifying the right side: \( \frac{x}{5} \times 5 = x \)
So we find that \( x = 20 \)

Answer:

\( x = 20 \)