Mathematics

# how do you solve 3x-2 divided by 8=x/4-1 ? the answer is x= -6 but how do you solve it?

$\frac{3x-2}{8}= \frac{x}{4-1}$ $\frac{3x-2}{8}= \frac{x}{3}$ Cross, Multiply : $3(3x-2) = 8x$ $9x-6 = 8x$ $9x - 8x - 6 = 0$ $9x - 8x = 6$ $\boxed{x = 6}$ Note : Remember this cross multiply formula : $\frac{a}{b} = \frac{c}{d} \,\,\,\,\,\,\,\,\, \to \,\,\,\,\,\,\,\,\,(a \times d) = (b \times c)$