Question

please give step by step explanation

Answer 1

Answer:

8x-4/6x-2=4/5

then cross multiplying we get,

40x-20=24x-8

now taking both coefficient of x to one side,

40x-24x=-8+20

16x=12

x=12/16

simplifying it, we get

x=3/4

hope it helps.

Answer 2

Question :

$\sf{Solve : \frac{8x - 4}{6x - 2} = \frac{4}{5} }$

Answer :

$\implies\sf{ \frac{8x - 4}{6x - 2} = \frac{4}{5} }$

Now we will cross multiply

$\implies\sf{4(6x - 2) = 5(8x - 4)}$

Multiplying all the terms

$\implies\sf{24x - 8 = 40x - 20}$

$\implies\sf{24x - 40x = - 20 + 8 }$

(-) sign cancelled from both sides

$\implies\sf{ - 16x = - 12 }$

$\implies\sf{x = \frac{12}{16} \:= \frac{3}{4}}$

$\implies{\boxed {\sf{x = \frac{3}{4}}}} \green \bigstar$