SOLUTION: I have this problem and I want to know if I did it correct? 4-x/x-2=-2/x-2, this is how I worked I tried to work the problem out, the -2&-2 cancel each other out and then it left 4

Question 163753: I have this problem and I want to know if I did it correct? 4-x/x-2=-2/x-2, this is how I worked I tried to work the problem out, the -2&-2 cancel each other out and then it left 4-x/x=x-2, then add +2 to both sides 4+2=6 and x-2+2 cancels out each other x=6. Is this the correct answer or can it be answered?
But I have a couple of other problems that I need help with.1/4=3-2x-1 over x+2, x3/2=125 and x+20-x=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Your first problem is ambiguous (ie not clear). Is the equation ???

Use parenthesis to be very clear which terms are the numerator and which are the denominator.

If the equation is , then you are correct. The answer is . You can verify by substituting and simplifying.

# 2

Is the equation ???

Start with the given equation

Multiply EVERY term by the LCD to clear the fractions

Multiply and simplify

Multiply

Distribute.

Combine like terms on the right side.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the answer is which approximates to .

# 3

The equation x3/2=125 is missing a sign or operator (like + or *)

# 4

Start with the given equation.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Simplify.

Since this equation is never true for any x value, this means that there are no solutions.

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