Question

1. solve the equation show each step

-2x = 7x + 9

Explanation:

Step1: Subtract \(7x\) from both sides

To get all the \(x\)-terms on one side, we subtract \(7x\) from both sides of the equation \(-2x = 7x + 9\). This gives us \(-2x - 7x = 7x + 9 - 7x\). Simplifying the left side: \(-2x - 7x = -9x\), and the right side: \(7x - 7x + 9 = 9\). So now the equation is \(-9x = 9\).

Step2: Divide both sides by \(-9\)

To solve for \(x\), we divide both sides of the equation \(-9x = 9\) by \(-9\). Using the division property of equality, we have \(\frac{-9x}{-9}=\frac{9}{-9}\). Simplifying both sides, the left side becomes \(x\) and the right side becomes \(-1\).

Answer:

\(x = -1\)