Question

complete the process of solving the equation. fill in the missing term on each line. simplify any fractions. \\(\frac{x}{20} + 7 = 12\\) \\(\frac{x}{20} = \square\\) subtract 7 from both sides \\(x = \square\\) multiply both sides by 20

Explanation:

Step1: Subtract 7 from both sides

Given the equation \(\frac{x}{20}+7 = 12\), when we subtract 7 from both sides, we have \(\frac{x}{20}+7 - 7=12 - 7\). Simplifying both sides, the left - hand side becomes \(\frac{x}{20}\) and the right - hand side becomes \(12 - 7=5\). So \(\frac{x}{20}=5\).

Step2: Multiply both sides by 20

We have the equation \(\frac{x}{20}=5\). To solve for \(x\), we multiply both sides of the equation by 20. Using the property of equality \(a = b\Rightarrow a\times c=b\times c\) (where \(c = 20\) here), we get \(\frac{x}{20}\times20=5\times20\). The left - hand side simplifies to \(x\) and the right - hand side simplifies to \(100\). So \(x = 100\).

Answer:

The first missing term is \(5\) and the second missing term is \(100\). So in the boxes, we fill \(5\) (for \(\frac{x}{20}=\square\)) and \(100\) (for \(x=\square\)).