Answer:
[tex]x=-\frac{9}{2}[/tex]
Step-by-step explanation:
Simplify the given equation by solving for x. Isolate the x variable in:
[tex]-8(6x+12)=-32x-24[/tex]
Expand the left side by using the distributive property. Remember that when a negative and positive are multiplied, the result is always negative:
[tex]-8(6x)-8(12)=-32x-24\\\\-48x-96=-32x-24[/tex]
Use inverse operations to isolate the variable. Add 96 to both sides, canceling out the -96 on the left:
[tex]-48x-96+96=-32x-24+96\\\\-48x=-32x+72[/tex]
Add 32x to both sides to isolate x:
[tex]-48x+32x=-32x+32x+72\\\\-16x=72[/tex]
Now divide both sides by 16:
[tex]\frac{-16x}{16} =\frac{72}{16} \\\\-x=\frac{9}{2}[/tex]
Make the variable positive by multiplying both sides by -1:
[tex]-1(-x)=-1(\frac{9}{2})\\\\x=-\frac{9}{2}[/tex]
:Done
Note:
You do the same thing to both sides in order to keep the equation balanced. Using the opposite value of a term cancels it out, moving it to the other side.
