Question

2/5x - 1/2 = 1/3 + 5/6x

Answer 1

Answer:

$x = \frac{25}{13}$

Step-by-step explanation:

Given:

$\frac{2}{5} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x$

Combine like terms:

$\frac{2}{5} x - \frac{5}{6} x = \frac{1}{3} + \frac{1}{2}$

Find GCF :

$\frac{12}{30} x - \frac{25}{30} = \frac{2}{6} + \frac{3}{6}$

Subtraction and Addition :

$\frac{13}{30} x = \frac{5}{6}$

Divide both sides by 13/30 :

$\frac{ \frac{13}{30} }{ \frac{13}{30} } x = \frac{ \frac{5}{6} }{ \frac{13}{30} }$

Simplify :

Multiplication (Reciprocal) :

$x = \frac{5}{6} \times \frac{30}{13}$

$x = \frac{150}{78}$

$x = \frac{25}{13}$

Answer :

$x = \frac{25}{13}$

Hope it helps