Question

solve for x using cross multiplication.
\\(\frac{3x + 2}{3} = \frac{x + 8}{3}\\)
\\(x = ?\\)

Explanation:

Step1: Apply cross - multiplication

For the equation \(\frac{3x + 2}{3}=\frac{x + 8}{3}\), cross - multiplying gives us \(3\times(3x + 2)=3\times(x + 8)\).

Step2: Simplify both sides

First, expand both sides: \(9x+6 = 3x + 24\).
Then, subtract \(3x\) from both sides: \(9x-3x+6=3x - 3x+24\), which simplifies to \(6x + 6=24\).
Next, subtract 6 from both sides: \(6x+6 - 6=24 - 6\), so \(6x=18\).
Finally, divide both sides by 6: \(\frac{6x}{6}=\frac{18}{6}\), which gives \(x = 3\).

Answer:

\(x = 3\)