Question

Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.

Answer 1

Answer:

$x=\frac{90}{13} .$

Step-by-step explanation:

$\frac{x}{2} +\frac{x}{3} =\frac{2x}{5} +3;$

$30*(\frac{x}{2} +\frac{x}{3} )=30*(\frac{2x}{5} +3);$

15x+10x=12x+90; ⇔ 13x=90;

$x=\frac{90}{13}.$