Respuesta :
Answer:
-1 + [tex]\frac{x}{7}[/tex]
Step-by-step explanation:
( 2/7x-6 ) - ( 1/7x - 5 )
First you should combine 2/7 and x, and 1/7 and x. You do this by "bringing the x up". This is how the expression looks now: (2x/7 - 6) - (x/7 - 5). Notice: when you have 1x you can just remove the 1 since it is implied. The next step is to apply the distributive property. The number we are distributing is -1 to (x/7 - 5). This is how the expression now looks like: (2x/7 - 6) - x/7 + 5. Notice: since 5 was already negative, when we multiplied it by a negative, it became positive. Now we can remove the parenthesis since they are no longer necessary: 2x/7 - 6 - x/7 + 5. The next step is to combine the fractions since they have the same denominator. This is how the expression will look like now: -6 + 5 + [tex]\frac{2x - x}{7}[/tex]. Now we should subtract x from 2x (remember x really just means 1x). This is what we have so far: -6 + 5 + x/7. Lastly, we should add 5 to -6. This is how the finished expression should look like: -1 + x/7.
Hope this was clear!
