2x-7 x-6
---- - --- = 0
4. 7
Find x?
Is this (2x-7x-6)/4.7 or (2x-7)/4.7 *(x-6)?
I am going to assume you meant
(2x-7)/4 - (x-6)/7 = 0
then
(2x-7)/4 = (x-6)/7
multiply both sides by 28, the LCD
7(2x-7) = 4(x-6)
14x - 49 = 4x - 24
10x = 25
x = 25/10 = 5/2 or 2.5 or 2 1/2
To find the value of x in the equation (2x-7)/4 - (x-6)/7 = 0, we can start by simplifying the equation and then solving for x.
Step 1: Simplify the equation
To combine the two fractions, we need a common denominator. In this case, we can use the product of the two denominators, which is 4 * 7 = 28.
(2x-7)/4 - (x-6)/7 = 0
Now, multiply the entire equation by 28 to get rid of the denominators:
7(2x-7) - 4(x-6) = 0
Step 2: Expand and simplify the equation
Distribute the terms on both sides of the equation:
14x - 49 - 4x + 24 = 0
Combine like terms:
(14x - 4x) + (-49 + 24) = 0
10x - 25 = 0
Step 3: Solve for x
Add 25 to both sides of the equation:
10x = 25
Now, divide both sides of the equation by 10:
x = 25/10
Simplifying the fraction:
x = 2.5
Therefore, the value of x that satisfies the equation is x = 2.5.