Question

Help me solve this equation please

Answer 1

Answer:

$-17x = 234$

Step-by-step explanation:

$\dfrac{2x}{3} - \dfrac{5x}{9} - \dfrac{x}{6} - \dfrac{5x}{12} = \dfrac{13}{2}$

First, we find the LCD. It is 36. Multiply both sides by 36.

$36\left(\dfrac{2x}{3} - \dfrac{5x}{9} - \dfrac{x}{6} - \dfrac{5x}{12}\right) = 36\left(\dfrac{13}{2}\right)$

$36\left(\dfrac{2x}{3}\right) - 36\left(\dfrac{5x}{9}\right) - 36\left(\dfrac{x}{6}\right) - 36\left(\dfrac{5x}{12}\right) = \dfrac{36}{2}(13)$

$\dfrac{36}{3}(2x) - \dfrac{36}{9}(5x) - \dfrac{36}{6}(x) - \dfrac{36}{12}(5x) = 18(13)$

$12(2x) - 4(5x) - 6(x) - 3(5x) = 234$

$24x - 20x - 6x - 15x = 234$

$-17x = 234$