-6(1/4x-2/3x+5/6x

1 answer

To solve the expression -6(1/4x-2/3x+5/6x), we can simplify the equation by combining like terms.

First, we need to find a common denominator for the fractions. The least common multiple (LCM) of 4, 3, and 6 is 12.

Let's rewrite the expression with a common denominator of 12:

-6(3/12x - 8/12x + 10/12x)

Now, we can combine the numerators:

-6(-5/12x)

Multiplying the numerator and denominator by 6:

-(6 * -5) / (12 * x) = 30/12x

Simplifying the fraction:

The final simplified expression is 30/12x, which can be further simplified as 5/2x or (5/2)x.