-1/4x+6=2/3x+28

X=22 that is my answer I got

x = 22 doesn't even come to satisfying the equation.

How did you get that ?

I changed the fractions to 4x-3x=28-6

We switch the fractions to whole numbers

What do you mean you changed the fractions to 4x-3x=28-6 ? HOW ?

That doesn't even make any sense

-1/4x+6=2/3x+28
multiply each term by 12 , the LCD

(-1/4x)(12) + 6(12) = (2/3x)(12) + 28(12)
-3x + 72 = 8x + 336
-11x = 264
x = - 24

Thanks

To find the value of x in the equation -1/4x + 6 = 2/3x + 28, you need to solve for x.

1. Start by eliminating the fractions by multiplying each term in the equation by the least common denominator (LCD) of 4 and 3, which is 12. Multiply every term by 12:

(12) * (-1/4x) + (12) * 6 = (12) * (2/3x) + (12) * 28

Simplifying this equation gives you:

-3x + 72 = 8x + 336

2. Move all terms involving x to one side of the equation and the constant terms to the other side:

-3x - 8x = 336 - 72

-11x = 264

3. Divide both sides of the equation by -11 to solve for x:

x = 264 / -11

Calculating this expression gives you:

x = -24

Therefore, the value of x in the given equation is -24, not 22. Double-check your steps to make sure there were no errors in your calculations.