Help me please with this Fraction, Solve for X

[Jackson332006]

(x - 5)/3 - 3/2 = (4x + 7)/6

Ok I know i find the LCD.

I have used 6 and 12 and still came out with the wrong answer.

here's my work

12 * (x - 5)/3 - 12*3/2 = 12*(4x +7)/6

4(x -5) - 6(3) = 2(4x +7)
am I doing this right so far?

I used 6 in the same way.
I still get the wrong answer.

Please help me!!!!!!!!

 

[stapel]

Since you have an equation, you don't actually have to convert everything to the Least Common Denominator (LCD), though the LCD is still useful. You are correct that the LCD is 6. Now multiply through:

. . . . .\(\displaystyle \L \frac{x\, -\, 5}{3}\, -\, \frac{3}{2}\, =\, \frac{4x\, +\, 7}{6}\)

. . . . .\(\displaystyle \L \left(\frac{6}{1}\right) \left(\frac{x\, -\, 5}{3}\right) \, -\, \left(\frac{6}{1}\right) \left(\frac{3}{2}\right)\, =\, \left(\frac{6}{1}\right) \left(\frac{4x\, +\, 7}{6}\right)\)

. . . . .\(\displaystyle \L 2(x\, -\, 5)\, -\, 3(3)\, =\, (4x\, +\, 7)\)

. . . . .\(\displaystyle \L 2x\, -\, 10\, -\, 9\, =\, 4x\, +\, 7\)

Try it from there.

Eliz.

 

[Jackson332006]

Thanks Eliz, you were a big help. the answer to that problem would be x = -13

 

[stapel]

the answer to that problem would be x = -13

To verify, plug the solution back into the original exercise, and see if it works:

. . .left-hand side:

. . . . .([-13] - 5)/3 - 3/2 = (-18)/3 - 3/2
. . . . . . . . . . . . . . . . . . .= -6 - 3/2 = -7.5

. . .right-hand side:

. . . . .(4[-13] + 7)/6 = (-52 + 7)/6
. . . . . . . . . . . . . . . ..= -45/6 = -42/6 - 3/6 = -7.5

Since both sides evaluate to the same value, the solution is confirmed.

Eliz.