Question

Find the value of x in the following equation: x/2 + 2x/5 = 18 A. x = 11/2 B. x = 2 C. x = 255/7 D. x = 20

Answer 1

Answer:

$\dfrac{x}{2} + \dfrac{2x}{5} = 18$ has the unique solution x = 20.

Step-by-step explanation:

The equation has the equivalences

$\displaystyle\frac{x}{2} + \frac{2x}{5} = 18 \Leftrightarrow x\left( \frac{1}{2} + \frac{2}{5} \right) = 18 \Leftrightarrow x \left( \frac{9}{10} \right) = 18 \Leftrightarrow x = 18 \cdot \frac{10}{9} = 20.$

Answer 2

Answer: x = 20

Step-by-step explanation:

Multiply by 10 ( next LCF )

10 ( x / 2 + 2x / 5 ) = 18 * 10

5x + 4x = 180

9x = 180

x = 20