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Posted by **Shreya** on Saturday, January 7, 2012 at 6:56pm.

(4x+3)(-2) = (6x+2)

-8x-6 = 6x+2

-14x-6 = 2

-14x = 8

x = 4/-7

i not think i did this right.

- math-calculus -
**Damon**, Saturday, January 7, 2012 at 7:16pmdo you mean

[ (4x+3)/(2x-1) ] - 2 = (6x+2)/(2x-1)

??????

If so please use parentheses so I can tell numerator from denominator.

If my guess is correct:

(4x+3) -2 (2x-1) = 6x+2

4x + 3 -4x + 2 = 6 x + 2

3 = 6 x

x = 1/2

- math-calculus -
**Shreya**, Saturday, January 7, 2012 at 7:22pmsorry yes you are right but dont all 2x-1's cancel?

- math-calculus -
**Shreya**, Saturday, January 7, 2012 at 7:23pmi think it supposed to be this

(4x+3)(-2) = (6x+2)

- math-calculus -
**Damon**, Saturday, January 7, 2012 at 7:30pm[ (4x+3)/(2x-1) ] - 2 = (6x+2)/(2x-1)

Multiply everything, all terms both sides including -2, by (2x-1)

[(4x+3)/(2x-1)](2x-1)-2(2x-1) = [(6x+2)/(2x-1) ] (2x-1)

You have to multiply that -2 by (2x-1) so the (2x-1) does not go away from the numerator when you clear it from the denominators.

so

(4x+3) -2 (2x-1) = 6x + 2

- math-calculus -
**Damon**, Saturday, January 7, 2012 at 7:34pmPerhaps your original line should read

[(4x+3)/(2x-1)](-2) = (6x+2)/(2x-1)

if so then

-2(4x+3) = 6x+2

-8x - 6 = 6x + 2

-14 x = 8

x = -4/7

and your answer would be right

- math-calculus -
**Shreya**, Saturday, January 7, 2012 at 7:34pmthank you but in back of book it say no solution so i very confused.

- math-calculus -
**Damon**, Saturday, January 7, 2012 at 7:36pmIf my solution of x = 1/2 is correct (and I think it is'

Then indeed the answer is NO SOLUTION

because

2x-1 = 0 if x = 1/2

division by 0

- math-calculus -
**Damon**, Saturday, January 7, 2012 at 7:36pmI did not notice that, should have.

- math-calculus -
**Shreya**, Saturday, January 7, 2012 at 7:42pmthank you so much i not notice that either. thanks :)

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