Question

solve for x:3/5x-3 /1/3x-1=6/5​

Answer 1

$\textbf{\huge{ANSWER:}}$

The Given equation is :-

$\frac{ \frac{2}{3}x + 1}{x + \frac{1}{4} } = \frac{5}{3}$

Now, what we need to do is, just solve the L.H.S. first and then, keep it equal to the R.H.S.

Solving the L.H.S. , we get:-

=》 $\frac{2x + 3}{3} \div \frac{4x + 1}{4}$

Simplify it more :-

=》 $\frac{8x + 12}{12x + 3}$

Now that we have the simplified form of L.H.S. , we can keep it equal to the R.H.S. :-

=》 $\frac{8x + 12}{12x + 3} = \frac{5}{3}$

Now, just keep on simply, simplifying it :-

=》 24x + 36 = 60x + 15

=》 36 - 15 = 60x - 12x

Some more steps to go :-

=》 21 = 36x

Last one step :-

=》 x = $\frac{21}{36}$

Just divide and Get the answer :-

=》 x = $\frac{7}{12}$