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QUESTION IMAGE

find the value of x. x = ?

Question

find the value of x.
x = ?

Explanation:

Step1: Use similar - triangles property

$\frac{14}{10}=\frac{2x - 3}{x}$

Step2: Cross - multiply

$14x=10(2x - 3)$

Step3: Expand right - side

$14x = 20x-30$

Step4: Rearrange terms

$20x-14x = 30$

Step5: Solve for x

$6x=30$, so $x = 5$

Answer:

$5$