SOLUTION: I�m supposed to solve the below expression for X, but I can�t figure out what I�m doing wrong. I believe your supposed to multiply by the LCD to remove the fraction term. Then wh

Question 150558: I�m supposed to solve the below expression for X, but I can�t figure out what I�m doing wrong. I believe your supposed to multiply by the LCD to remove the fraction term. Then when I calculate, I�m completely lost. Maybe I�m using the wrong LCD.

Problem is x+3/6 - x/5 = 9x-5/30
LCD is 30, so I multiplied each term by 30
5(x+3) � 6x = 9x � 5
5x + 15 � 6x = 9x � 5
-x + 15 = 9x � 5
15 = 10x � 5
20 = 10x
x=10
*Answer in my book is x=2

Problem is: 4/x + 2/x+1 = 5
LCD is x(x+1), so I multiplied each term by x(x+1)
4(x+1) + 2x = 5x(x+1)
4x + 4 + 2x = 5x^2 + 5x
6x + 4 = 5x^2 + 5x
4 = 5x^2 + 5x � 6x
4 = 5x^2 � x
*Answer in my book is x=1

Problem is 24/8x - x/3 = 3-x/6
LCD is 24x, so I multiplied each term by 24x
72 � 8 = 4x(3-x)
72 � 8 = 12x � 4x^2
64 = 12x � 4x^2
*Answer in my book is x=3 or x=6

Problem is 6/4(x-2) + 1/4 = 4/x
LCD is 4(x-2), so I multiplied each term by 4(x-2)
6 + x � 2 = x(x-2)
4 + x = x^2 � 2x
4 + x = 0
x = -4
*Answer in my book is x=3 or x=6

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you going in the right direction.

# 1

Good so far until you reach the second to last step

Divide both sides by 10.

Divide 10 into 20 to get 2

So the answer is

# 2

You're off to a good start, I'll start where you left off.

Start with the given equation.

Subtract 4 from both sides.

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

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