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QUESTION IMAGE

2x + 4\\frac{1}{5} = 9

Question

2x + 4\frac{1}{5} = 9

Explanation:

Step1: Convert mixed number to fraction

$4\frac{1}{5} = \frac{21}{5}$

Step2: Isolate the term with $x$

$2x = 9 - \frac{21}{5}$
$2x = \frac{45}{5} - \frac{21}{5} = \frac{24}{5}$

Step3: Solve for $x$

$x = \frac{24}{5} \times \frac{1}{2} = \frac{12}{5}$

Answer:

$x = \frac{12}{5}$ or $2\frac{2}{5}$

To plot this on the number line: Locate the point between 2 and 3, dividing the interval into 5 equal parts and marking the 2nd part from 2.