Asked by Azuka

(8x-5)/(12x+3) = 5/9

Hey guys, could someone please solve for x? I'm not sure how to simplify this equation -\_(ツ)_/- Many thanks.
Answered by R_scott
"cross" multiply the fractions

9 (8 x - 5) = 5 (12 x + 3) ... 72 x - 45 = 60 x + 15
Answered by Bosnian
( 8 x - 5 ) / ( 12 x + 3 ) = 5 / 9

cross multiply

( 8 x - 5 ) ∙ 9 = 5 ∙ ( 12 x + 3 )

8 x ∙ 9 - 5 ∙ 9 = 5 ∙ 12 x + 5 ∙ 3

72 x - 45 = 60 x + 15

Subtract 60 x to both sides

72 x - 45 - 60 x = 60 x + 15 - 60 x

12 x - 45 = 15

Add 45 to both sides

12 x - 45 + 45 = 15 + 45

12 x = 60

Divide both sides by 12

x = 60 / 12 = 5
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