Question

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

Explanation:

Step1: Cross multiply to eliminate denominators

$$2(3x+2) = 4(x+4)$$

Step2: Expand both sides

$$6x +4 = 4x +16$$

Step3: Isolate x terms

$$6x -4x = 16 -4$$

Step4: Simplify and solve

$$2x=12 \implies x=\frac{12}{2}$$

Answer:

$6$