simpfiy
-6(1/4x-2/3x+5/6x)
To simplify -6(1/4x - 2/3x + 5/6x), we need to first combine the terms inside the parentheses:
1/4x - 2/3x + 5/6x = (3/12)x - (8/12)x + (10/12)x
= (3 - 8 + 10)/12x
= 5/12x
Now, we can multiply this result by -6:
-6 * (5/12x) = -30/12x
Therefore, -6(1/4x - 2/3x + 5/6x) simplifies to -30/12x.
To simplify the expression -6(1/4x - 2/3x + 5/6x), we can apply the distributive property of multiplication over addition and subtraction.
First, distribute the -6 to each term inside the parentheses:
-6 * 1/4x = -6/4x
-6 * -2/3x = 12/3x
-6 * 5/6x = -30/6x
Now, we can simplify each term:
-6/4x = -3/2x (we divided both the numerator and denominator by 2)
12/3x = 4x (we divided both the numerator and denominator by 3)
-30/6x = -5x (we divided both the numerator and denominator by 6)
Putting it all together, the simplified expression is:
-3/2x + 4x - 5x
To combine the like terms, add or subtract the coefficients of the x terms:
-3/2x + 4x - 5x = (-3/2 + 4 - 5)x = (-3/2 - 1)x
Simplifying further:
(-3/2 - 1)x = (-3 - 2)/2x = -5/2x
Therefore, the simplified expression is -5/2x.
To simplify the expression -6(1/4x - 2/3x + 5/6x), you can distribute the -6 to each term inside the parentheses.
-6(1/4x - 2/3x + 5/6x) becomes (-6)(1/4x) + (-6)(-2/3x) + (-6)(5/6x).
Next, simplify each term separately:
(-6)(1/4x) = -6/4x = -3/2x
(-6)(-2/3x) = 12/3x = 4x
(-6)(5/6x) = -30/6x = -5x
Finally, combine the simplified terms:
-3/2x + 4x - 5x
Combining like terms, we get:
-3/2x - x
This can also be written as:
(-3/2 - 1)x = -5/2x