Answered

how do you solve 3x-2 divided by 8=x/4-1 ?

the answer is x= -6

but how do you solve it?

Verified Answer :

\(\frac{3x-2}{8}= \frac{x}{4-1}\)

\(\frac{3x-2}{8}= \frac{x}{3}\)

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 :
\(\frac{a}{b} = \frac{c}{d} \,\,\,\,\,\,\,\,\, \to \,\,\,\,\,\,\,\,\,(a \times d) = (b \times c)\)

AL2006

(3x - 2) / (8) = (x/4) - 1

Multiply each side by 8 :

3x - 2 = 2x - 8

Add 2 to each side:

3x = 2x - 6

Subtract 2x from each side:

x = -6 .