Answer:
x = [tex]\frac{-4}{7}[/tex] or x = -.5714
Step-by-step explanation:
First divide by -42 on both sides.
-42x = 24
/-42 /-42
Then you'll have this
x = [tex]\frac{24}{-42}[/tex]
Then you have to simplify the fraction, since this doesn't divide evenly.
You can do this by divide the numerator and denominator by like terms.
[tex]\frac{24}{-42}[/tex] / [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{-21}[/tex]
You can simplify it further by dividing the numerator and denominator by 3.
[tex]\frac{12}{-21}[/tex] / [tex]\frac{3}{3}[/tex] = [tex]\frac{4}{-7}[/tex]
Because 7 is a prime number this is the farthest you can simplify. You can now move the negative to the numerator because the fraction is completely simplified.
