Question

(x-2)/6 = (3x-2)/5. What is the value of x?

Answer 1

(x-2)/6 = (3x-2)/5
(x-2)*5 = (3x-2)*6

5х-10=18х-12
13х=2
х=2/13

Answer 2

$\frac{x - 2}{6} = \frac{3x - 2}{5} \\6(3x - 2) = 5(x - 2) \\6(3x) - 6(2) = 5(x) - 5(2) \\18x - 12 = 5x - 10 \\13x - 12 = -10 \\\frac{13x}{13} = \frac{2}{13} \\x =\frac{2}{13}$