Question

solve for x using cross multiplication.
\\(\frac{3x - 5}{4} = \frac{x + 1}{2}\\)
\\(x = ?\\)

Explanation:

Step1: Cross multiply the fractions

$$(3x - 5) \times 2 = (x + 1) \times 4$$

Step2: Expand both sides

$$6x - 10 = 4x + 4$$

Step3: Isolate x terms on left

$$6x - 4x = 4 + 10$$

Step4: Simplify and solve for x

$$2x = 14 \implies x = \frac{14}{2}$$

Answer:

$7$