Question

solve for x.
\\(\frac{3x - 2}{3x + 1} = 3\\)
\\(x = \square\\)
your answer should be

• a simplified proper fraction, like 3/5
• a simplified improper fraction, like 7/4

Explanation:

Step1: Eliminate denominator, cross multiply

$$3x - 2 = 3(3x + 1)$$

Step2: Expand right-hand side

$$3x - 2 = 9x + 3$$

Step3: Rearrange terms to isolate $x$

$$3x - 9x = 3 + 2$$

Step4: Simplify both sides

$$-6x = 5$$

Step5: Solve for $x$

$$x = -\frac{5}{6}$$

Answer:

$x = -\frac{5}{6}$