Question

solve the equation using algebra tiles.
6x + 9 = 3x + 3

use the drawing tool to model the equation.

scribble

Explanation:

Step1: Subtract 3x from both sides

To isolate the variable terms, we subtract \(3x\) from each side of the equation \(6x + 9 = 3x + 3\). This gives us \(6x - 3x + 9 = 3x - 3x + 3\), which simplifies to \(3x + 9 = 3\).

Step2: Subtract 9 from both sides

Next, we subtract 9 from both sides to isolate the term with the variable. So, \(3x + 9 - 9 = 3 - 9\), which simplifies to \(3x = -6\).

Step3: Divide by 3

Finally, we divide both sides by 3 to solve for \(x\). That is, \(\frac{3x}{3} = \frac{-6}{3}\), which gives \(x = -2\).

Answer:

\(x = -2\)