Question

Hey there :D please solve this equation :)

Answer 1

Answer:

Given :-

$\leadsto \sf \dfrac{(2x + 5) - (4x - 3)}{(3x - 1) - (2x + 9)} =\: \dfrac{- 54}{69}$

To Find :-

• What is the value of x.

Solution :-

$\implies \bf \dfrac{(2x + 5) - (4x - 3)}{(3x - 1) - (2x + 9)} =\: \dfrac{- 54}{69}$

$\implies \sf \dfrac{2x + 5 - 4x + 3}{3x - 1 - 2x - 9} =\: \dfrac{- \cancel{54}}{\cancel{69}}$

$\implies \sf \dfrac{2x - 4x + 5 + 3}{3x - 2x - 1 - 9} =\: \dfrac{- 18}{23}$

$\implies \sf \dfrac{- 2x + 8}{x - 10} =\: \dfrac{- 18}{23}$

By doing cross multiplication we get,

$\implies \sf 23(- 2x + 8) =\: - 18(x - 10)$

$\implies \sf - 46x + 184 =\: - 18x + 180$

$\implies \sf - 46x + 18x =\: 180 - 184$

$\implies \sf {\cancel{-}} 28x =\: {\cancel{-}} 4$

$\implies \sf 28x =\: 4$

$\implies \sf\bold{\red{x =\: \dfrac{4}{28}}}$

${\small{\bold{\therefore\: The\: value\: of\: x\: is\: \dfrac{4}{28}\: .}}}$

Answer 2

Answer in Attachment.

$the \: value \: of \: x \: is \: \frac{4}{28}$

$\sf \colorbox{orange} {Answer by :- BrainlyBeyonder}$