Question

solve the equation using algebra tiles. 3x + 7 = 4x + 2 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 \(3x + 7 = 4x + 2\). This gives us \(3x - 3x + 7 = 4x - 3x + 2\), which simplifies to \(7 = x + 2\).

Step2: Subtract 2 from both sides

Next, we subtract 2 from both sides to solve for \(x\). So, \(7 - 2 = x + 2 - 2\), which simplifies to \(5 = x\) or \(x = 5\).

Answer:

\(x = 5\)