Question

solve for x. use the sketchpad to show your work
-2x + 20 = -7x + 10

Explanation:

Step1: Add 7x to both sides

To isolate the x terms on one side, we add \(7x\) to both sides of the equation \(-2x + 20 = -7x + 10\). This gives us \(-2x + 7x + 20 = -7x + 7x + 10\), which simplifies to \(5x + 20 = 10\).

Step2: Subtract 20 from both sides

Next, we subtract 20 from both sides to isolate the term with x. So, \(5x + 20 - 20 = 10 - 20\), which simplifies to \(5x = -10\).

Step3: Divide by 5

Finally, we divide both sides by 5 to solve for x. \(\frac{5x}{5} = \frac{-10}{5}\), which gives \(x = -2\).

Answer:

\(x = -2\)