Question

What is the value of x in the equation 1/2x-3/4=3/8-5/8x?

Answer 1

Answer: x= 9/7

Step-by-step explanation: the numbers must have a common denominator which is 8. Multiply 1/2 by 4/4. Multiply -3/4 by 2/2. Since all numbers have 8 as their denominator, in parentheses, divide by 8. Then you will get 2x-6=3-5x. Add 5x to both sides. Then you will get 7x-6=3. Add 6 to both sides. Then you will get 7x=9. Divide by 7 to both sides. x= 9/7.

Answer 2

x = 1

Explanation:

1/2x - 3/4 = 3/8 - 5/8x

The LCD is 8. Lets change every fraction to a denominator of 8.

4/8x - 6/8 = 3/8 - 5/8x

Now multiply both sides by 8.

4x - 6 = 3 - 5x

Add 5x to both sides. Add 6 to both sides.

9x = 9

Divide both sides by 9.

x = 1