-3/4x + 1/4x= -6

how would I work this problem?

first combine similar terms,, that is, add the numerical coefficient of x (or the number before x):

-3/4 + 1/4
*since they have the same denominator, you can add the numerator directly:
(-3+1)/4 = -2/4
it now becomes:
(-2/4)x = -6
now, we can multiply -1 to both sides to cancel out the negative:
(2/4)x = 6
divide the 6 by (2/4) to get x alone:
x = 6 / (2/4)
to divide a number by a fraction, get first the reciprocal of the fraction,, that is you just have to interchange the numerator and denominator:
2/4 --> reciprocal is 4/2
now the operation becomes multiplication instead of division:
x = 6 / (2/4)
x = 6 * (4/2)

now solve for x. :)

add -3/4 to -3/4 to cancel it out then add -3/4 to -6 so you have 1/4x=-1.5 divide 1/4 by 1/4 to get the x alone then divide -1.5 by 1/4 and whatever that comes out to be equals x

x= 12 :D

yes! that's right~! :)

To solve the equation, you'll need to combine like terms and isolate the variable.

Step 1: Combine like terms
Combine the terms containing 'x' on the left side of the equation:
-3/4x + 1/4x = -6

To combine the fractions, you need a common denominator, which is 4. Multiply the numerators and denominators accordingly:

(-3x + x) / 4 = -6

Simplifying the numerator, we have:

-2x / 4 = -6

Step 2: Simplify further
To simplify further, divide -2x by 4:

-2x / 4 = -6
(-2/4) * x = -6
(-1/2) * x = -6

Step 3: Isolate the variable
To isolate 'x,' divide both sides of the equation by -1/2:

((-1/2) * x) / (-1/2) = (-6) / (-1/2)
x = 12

So the solution to the equation is x = 12.