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 \(-43 = \frac{x}{5} - 47\). This gives us \(-43 + 47=\frac{x}{5}-47 + 47\). Simplifying the left - hand side: \(-43+47 = 4\), and the right - hand side simplifies to \(\frac{x}{5}\) (since \(- 47+47 = 0\)). So now our 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. Using the property of equality \(a = b\Rightarrow a\times c=b\times c\) (where \(c = 5\) in this case), we get \(4\times5=\frac{x}{5}\times5\). The left - hand side is \(20\), and the right - hand side simplifies to \(x\) (since \(\frac{x}{5}\times5=x\)).

Answer:

\(x = 20\)