-12x+10/5 = - x/20
I can't decide if I should cross multiply by -20 or just 20. The - is in the middle of the x and 20 (like a fraction)
I came up with 2 possible answers:
x=40/49 and x = 40/47
I am not a big fan of the expression "cross multiply"
What you want to do here is multiply both sides, all terms by -20 (or 20 would work too)
FIRST THE WAY YOU TYPED IT (probably wrong)
-12(-20) x + 2(-20 ) = -x(-20)
240 x - 40 = 20 x
220 x = 40
x = 2/11
NOW WHAT I THINK YOU MEAN
(-12x+10)(-20)/5 = -x (-20/20)
48 x -40 = -x
49 x = 40
x = 40/49
PARENTHESES ARE IMPORTANT WHEN TYPING EQUATION ON A COMPUTER (because of order of operations)
(-12x+10)(-20)/5 = -x (-20/20)
I made a sign error here
48 x -40 = +x
47 x = 40
x = 40/47
To solve the equation -12x + 10/5 = -x/20, you want to get rid of the fractions and isolate the variable x. To do this, you can multiply both sides of the equation by the least common denominator (LCD) of all the denominators involved. In this case, the LCD is 20, because it is divisible by both 5 and 20.
So, to get rid of the fractions, you need to multiply both sides of the equation by 20. However, you need to be careful with the negative sign that is in the middle of the x and 20. To correctly distribute the negative sign, you need to multiply it by the 20 as well.
Here are the steps to solve the equation with the correct application of the negative sign:
1. Multiply every term in the equation by 20:
20 * (-12x) + 20 * (10/5) = 20 * (-x/20)
This simplifies to:
-240x + 40 = -x
2. Now, let's re-arrange the equation so that all the terms involving x are on one side and the constants are on the other side:
-240x + x = -40
Combining like terms gives us:
-239x = -40
3. Divide both sides of the equation by -239 to solve for x:
x = -40 / -239
The result of dividing -40 by -239 is x = 40/239. Therefore, the correct solution to the equation is x = 40/239.
It seems like you may have made an error in your calculations, as the solutions x = 40/49 and x = 40/47 do not satisfy the given equation.