"cross" multiply the fractions
9 (8 x - 5) = 5 (12 x + 3) ... 72 x - 45 = 60 x + 15
(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.
2 answers
( 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
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
2 answers