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((2x - 3)/(4x + 5)) = (1/3)

Answer:

We have,

((2x - 3)/(4x + 5)) = (1/3)

By cross multiplication, we get

3 × (2x - 3) = 1 × (4x + 5)

6x – 9 = 4x + 5

Transposing -9 to RHS it becomes 9 and 4x to LHS it becomes – 4x.

6x – 4x = 5 + 9

2x = 14

x = 14/2

x = 7

"hello students i am rita your math
leader tutor
and the today's question is 2x minus 3
divided by 4 x plus 5 is equal to
1 by 3 we have to solve this equation so
we do
cross multiply when we cross multiply so
3
bracket 2 x minus 3 is equal to 1
multiply 4 x plus 5 so we apply the
distributive property
3 is multiplied by both and 1 is
multiplied
by both then 3 into 2 6 x and 3 3's are
9 1 into 4 x 4 x and 1 into 5
5 now we separate out the variable
so it becomes 6 x minus 4
x is equal to and we separate out the
constant term that is plus 5
and minus 9 goes to there goes to the
other side by the process of
transposition it becomes
plus 9 9 plus 5 14 and 6
minus 4 that is 2x so the value of x is
equal to 14 divided by
2 2 into 7 so the value of
x is equal to 7 so this is our answer
i hope you like this video so please
subscribe video for more updates and do
comment your questions
thank you"

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