Question

The equation 2|3x−1|=10 has two solutions, one positive and one negative. Solve the equation to find the solutions.

Answer 1

$2|3x−1|=10\\\\ |3x-1|=5\\\\ 3x-1=5 \vee 3x-1=-5\\\\ 3x=6 \vee 3x=-4\\\\ x=2 \vee x=-\dfrac{4}{3}$