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Your steps are correct !
From your last step,
-8x = 0
so x = 0/-8 = 0
∴ x = 0
From your last step,
-8x = 0
so x = 0/-8 = 0
∴ x = 0
Check :
Sub x = 0 ,
3/(3 - 2x) = 3 / (3 - 2 × 0) = 3/3 = 1
1/(2x + 1) = 1 / (2 × 0 + 1) = 1/1 = 1
Left hand side = Right hand side so x = 0 satisfies the equation
Sub x = 0 ,
3/(3 - 2x) = 3 / (3 - 2 × 0) = 3/3 = 1
1/(2x + 1) = 1 / (2 × 0 + 1) = 1/1 = 1
Left hand side = Right hand side so x = 0 satisfies the equation
Alternatively,
when you reach here :
3 - 2x = 6x + 3
3 - 3 = 6x + 2x
0 = 8x
x = 0/8 = 0
when you reach here :
3 - 2x = 6x + 3
3 - 3 = 6x + 2x
0 = 8x
x = 0/8 = 0