Question

Find the value of x in 2x-3/3x+2 = -2/3

Answer 1

$\underline{\textbf{Hey Mate Here Is Your Answer}}$

$\underline{\textbf{Question }}$

To find Value of " X " If $\mathbf{2x\:-\:3/3x\:+\: 2 \:= \: -2/3}$

So Now Let's Move for Solution

$\underline{\textbf{Solution}}$

$\boxed{\mathbf{ \frac{2x - 3}{3x + 2} = \frac{ - 2}{ \: \: 3} }}$

$\underline{Cross\: Multiply}$

Now By Cross Multiplying LHS And RHS We Have ➡️

$\mathbf{ 3(2x - 3)= - 2(3x + 2) }$

$\underline{Simplify \:Both\:LHS\:And\:RHS }$

Now By Opening Bracket We Have ➡️

$\mathbf{ 3\times2x - 3\times3 = - 2\times3x + 2\times-2}$

That Is

$\mathbf{ 6x - 9= - 6x - 4}$

$\underline{Take \: Variable \: Terms \: To \: LHS \: And \: Constant \:terms\: To \: RHS }$

By Taking Variable Terms To LHS And Constant terms To RHS We Have ➡️

$\mathbf{ 6x + 6x = - 4 + 9 }$

$\textbf{\underline{Note} - By Taking Any Term To LHS To RHS Or Vice-Versa The Sign }$

$\textbf{Of Term Gets Changed To It's Opposite Sign }$

That Is

$\mathbf{ 12x = 5 }$

Now Taking 12 To RHS We Have ➡️

$\boxed{\mathbf{ x =\frac{5}{ 12} }}$

$\underline{\textbf{Hence The Required Answer Is}}$

$\boxed{\boxed{\mathbf{\: X\: = \: \frac{5}{12}}}}$

$\large{\blue{Thanks...}}$

$\underline{\bold{\star\:\: BrainlyKing5\:\:\star}}$