Question

2/x-1 + 8/2x-2 = 7 solve the equation (the answer has to be a fraction)

Answer 1

$\frac{2}{x - 1} + \frac{8}{2x - 2} = 7$
$\frac{2}{x - 1} + \frac{2(4)}{2(x) - 2(1)} = 7$
$\frac{2}{x - 1} + \frac{2(4)}{2(x - 1)} = 7$
$\frac{2}{x - 1} + \frac{4}{x - 1} = 7$
$\frac{2 + 4}{x - 1} = 7$
$\frac{6}{x - 1} = 7$
$7(x - 1) = 6$
$7(x) - 7(1) = 6$
$7x - 7 = 6$
$7x = 13$
$\frac{7x}{7} = \frac{13}{7}$
$x = 1\frac{6}{7}$