Question

solve for x in the equation 2/3x-1/6=1/2x+5/6

Answer 1

Step-by-step explanation:

art from the give equation

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

we will you 6 on both sides of the equation to get rid of the fractions.

multiply both side by 6

$6 (\frac{2}{3}x - \frac{1}{6} ) = 6 \times (\frac{1}{2}x + \frac{5}{6}) \\ \frac{12x}{3} - \frac{6x}{6} + \frac{30}{6}$

simplify

$4x - 1 = 3x + 5 \\ 4x - 3x = 5 + 1 \\ x = 6$

checking the answer X= into the original equation