Question

2/3x + 1/6 = 5x/12 please find the value of x

Answer 1

Answer:

Step-by-step explanation:

$\frac{2x}{3} + \frac{1}{6} = \frac{5x}{12}$

Now subtracting 2x/3 on both sides:

$\frac{2x}{3}-\frac{2x}{3} +\frac{1}{6} = \frac{5x}{12} - \frac{2x}{3}$

LCM of 3 and 12 = 12

$\frac{1}{6} = \frac{5x-8x}{12}$

$\frac{-3x}{12} = \frac{1}{6}$

Multiplying both sides by -12/3

$\frac{-3x}{12} * \frac{-12}{3} = \frac{1}{6} * \frac{-12}{3}$

x = $\frac{-12}{18}$

Now we can simplify this by dividing the fraction by 6/6

x = $\frac{-2}{3}$

Hope it helps,

Have a great day ahead