Question

find the value of x.
x = ?

Explanation:

Step1: Set up proportion (similar triangles)

$\frac{11x}{11x+7x+2}=\frac{72}{72+48}$

Step2: Simplify denominators/numerators

$\frac{11x}{18x+2}=\frac{72}{120}=\frac{3}{5}$

Step3: Cross-multiply to solve for x

$5\times11x=3\times(18x+2)$
$55x=54x+6$

Step4: Isolate x to find value

$55x-54x=6$
$x=4$

Answer:

$x=4$