Question

solve the equation and find the value of x.​

Answer 1

Answer:

x=6/5

Step-by-step explanation:

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

4x-3x-4=6x-10

x-6x=-10+4

-5x=-6

x=6/5

Answer 2

Step-by-step explanation:

$\sf We \: have,$

$\sf 2-\dfrac{3-x}{x-1}=\dfrac{3x+4}{x+1}$

$\sf \dfrac{2(x-1)-3+x}{x-1}=\dfrac{3x+4}{x+1}$

$\sf \dfrac{2x-2-3+x}{x-1}=\dfrac{3x+4}{x+1}$

$\sf \dfrac{3x-5}{x-1}=\dfrac{3x+4}{x+1}$

$\sf \bf On\: cross\: multiplying,$

$\sf : \implies (x+1)(3x-5)=(3x+4)(x-1)$

$\sf : \implies 3x^2+3x-5x-5=3x^2-3x+4x-4$

$\sf : \implies 3x^2-2x-5=3x^2+x-4$

$\sf : \implies -2x-5=x-4$

$\sf : \implies -2x-x=-4+5$

$\sf : \implies -3x=-1$

$\sf : \implies 3x=1$

$\sf : \implies \underline{\boxed{\sf \bf x=\dfrac{1}{3}}}$