Solve: $\frac{4 x-5}{6 x+3}=\frac{2 x-5}{3 x-2}$.
Given: Expression: $\frac{4 x-5}{6 x+3}=\frac{2 x-5}{3 x-2}$.
To do: To solve the expression $\frac{4 x-5}{6 x+3}=\frac{2 x-5}{3 x-2}$.
Solution:
Given expression: $\frac{4 x-5}{6 x+3}=\frac{2 x-5}{3 x-2}$
$\Rightarrow ( 4x-5)( 3x-2)=( 2x-5)( 6x+3)$
$\Rightarrow 12x^2-15x-8x+10=12x^2-30x+6x-15$
$\Rightarrow -13x+10=-36x-15$
$\Rightarrow -13x+36x=-15-10$
$\Rightarrow 23x=-25$
$\Rightarrow x=-\frac{25}{23}$
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