Question

3x - 2y = 18 for x

Explanation:

Step1: Add \(2y\) to both sides

To isolate the term with \(x\), we add \(2y\) to both sides of the equation \(3x - 2y = 18\). This gives us \(3x - 2y + 2y = 18 + 2y\), which simplifies to \(3x = 18 + 2y\).

Step2: Divide both sides by 3

Now, to solve for \(x\), we divide both sides of the equation \(3x = 18 + 2y\) by 3. Using the division property of equality, we get \(\frac{3x}{3}=\frac{18 + 2y}{3}\), which simplifies to \(x=\frac{18 + 2y}{3}\) or we can also write it as \(x = 6+\frac{2y}{3}\).

Answer:

\(x=\frac{18 + 2y}{3}\) (or \(x = 6+\frac{2y}{3}\))