Question

1. 10(8x - 6) = 580

Explanation:

Step1: Divide both sides by 10

To isolate the term with \(x\), we first divide both sides of the equation \(10(8x - 6)=580\) by 10. This gives us \(\frac{10(8x - 6)}{10}=\frac{580}{10}\), which simplifies to \(8x - 6 = 58\).

Step2: Add 6 to both sides

Next, we add 6 to both sides of the equation \(8x - 6 = 58\) to get rid of the \(-6\) on the left side. So, \(8x - 6 + 6 = 58 + 6\), which simplifies to \(8x = 64\).

Step3: Divide both sides by 8

Finally, we divide both sides of the equation \(8x = 64\) by 8 to solve for \(x\). That is, \(\frac{8x}{8}=\frac{64}{8}\), which gives \(x = 8\).

Answer:

\(x = 8\)