Question

3 1/4x-4 5/7=3 5/12x-3 3/14

Answer 1

3 1/4x-4 5/7=3 5/12x-3 3/14
3 1/4x-3 5/12x=4 5/7-3 3/14
3/12x-5/12x=24/14-3/14=21/14=3/2
-2/12x=3/2
x=3/2:(-2/12)=3/2*(-12/2)
x=-9

Answer 2

To solve the equation, we need to find the value of 'x.' We'll start by getting rid of the fractions to make the equation easier to work with. Here are the steps:

Step 1: Convert mixed fractions to improper fractions: 3 1/4 can be written as (3 * 4 + 1) / 4 = 13 / 4 4 5/7 can be written as (4 * 7 + 5) / 7 = 33 / 7 3 5/12 can be written as (3 * 12 + 5) / 12 = 41 / 12 3 3/14 can be written as (3 * 14 + 3) / 14 = 45 / 14

Now, the equation becomes: (13/4)x - (33/7) = (41/12)x - (45/14)

Step 2: Get rid of the fractions by multiplying through by the least common multiple (LCM) of the denominators. The LCM of 4, 7, 12, and 14 is 84.

So, we multiply everything by 84: 84 * [(13/4)x] - 84 * [(33/7)] = 84 * [(41/12)x] - 84 * [(45/14)]

Step 3: Simplify the equation: 33x - 396 = 287x - 360

Step 4: Move the x term to one side and the constant term to the other side: 33x - 287x = -360 + 396 -254x = 36

Step 5: Solve for x: x = 36 / (-254) x ≈ -0.1417 (rounded to four decimal places)

So, the value of 'x' is approximately -0.1417.