Question

Question 18
Solve for x in the equation
$\frac{2}{3} x - \frac{1}{6} = \frac{1}{2} x + \frac{5}{6}$
[1] x =1/6
[2] x = 6
[3] x =6/7
[4] x = 4​

Answer 1

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

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

$\frac{4x - 3x}{6} = \frac{5 + 1}{6}$

$\frac{x}{6} = \frac{6}{6}$

$\frac{x}{6} = 1$

$x = 6$

Option B) x = 6 is the answer ✔️