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=2x-4 / 3x+2 = -2/3
By Cross Multiplication Method,
=3(2x-4) = -2(3x+2)
=6x-12= -6x-4
Transposing - 6x to LHS and -12 to RHS,
=6x +6x = -4+12
=12x= -8
x= -8/12
:. x = -2/3
To verify:
Let x be -2/3,
= 2(-2/3)-4 / 3(-2/3)+2
= (-4/3 ) -4 / (-6/3)+ 2
-4/3 + 4/1 = ?
-6/3 +2/1 = ?
LCM of [3,1=3] and [3,1=3]
- 4+12/3 = 8/3
[since both the signs are opposite so they will be cut]
-6+6/3= 0/3
Hence,
8/3 / 0/3
Transposing 0/3 to RHS
= 8/3= 0/3
= Transposing 8/3 to RHS
= 0/3 x 8/3
[To divide 2 fractional numbers the second number should be recoprocaled]
=0/3 x 3/8
= -2/3
Hence, verified that x= -2 /3
Hope it helps you mate
SARANGHEO ♡
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