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