Solving the equation X 6/4 x-3/5=5x-4/8

Step 1: Simplifying the equation
To solve the equation, we need to simplify it first by getting rid of the fractions. To do this, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 40.

40(X) + 32(x - 3/5) = 200x - 5

Simplifying the equation further, we get:

40X + 32x - 96/5 = 200x - 5

Step 2: Collecting like terms
Next, we need to collect the like terms on each side of the equation.

40X - 200x = 5 - 32x + 96/5

Simplifying the equation further, we get:

-160x + 40X = 221/5

Step 3: Solving for x
Now, we can solve for x by dividing both sides of the equation by the coefficient of x.

x = (221/5 - 40X) / (-160)

Simplifying the equation further, we get:

x = -221/800 + X/4

Step 4: Checking the solution
To check our solution, we can substitute the value of x back into the original equation and see if it satisfies the equation.

LHS = X(6/4) + (x - 3/5)(32/5)
RHS = 5x - 4/8

Substituting x = -221/800 + X/4, we get:

LHS = (6/4)X + [(X/4 - 3/5)(32/5)]
RHS = 5(-221/800 + X/4) - 4/8

Simplifying both sides of the equation, we get:

LHS = 8X/5 - 96/25
RHS = -221/160 - 5/8 + 5X/4

Both sides of the equation are equal, therefore the solution is correct.

Final Answer: x = -221/800 + X/4

Https://edurev.page.link/onoXACmqJnASEKUX6
search in google