SOLUTION: I am a parent trying to help my daughter with this equation. I am not sure what I am doing incorrectly. -4=7x-(-1)/8

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I am a parent trying to help my daughter with this equation. I am not sure what I am doing incorrectly. -4=7x-(-1)/8      Log On


   



Question 64039: I am a parent trying to help my daughter with this equation. I am not sure what I am doing incorrectly.
-4=7x-(-1)/8

Found 2 solutions by sarahschober, praseenakos@yahoo.com:
Answer by sarahschober(35) About Me  (Show Source):
You can put this solution on YOUR website!
-4=%287x-%28-1%29%29%2F8
-4=%287x%2B1%29%2F8
multiply both sides by %288%2F1%29
-32=7x%2B1
add -1 to both sides
-33=7x
divide both sides by 7
x=%28-33%2F7%29+or+-4+%285%2F7%29

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
QUESTION:
-4=7x-(-1)/8
ANSWER:

-4 = 7X - (-1)/8


Add (-1)/8 on both sides of the equation.( Because here we want to find the value of x. For that bring all the x terms in one side and all the other terms into other.)


Here in the right side we have (-1)/8 is subtracting from 7x, so add both sides by that term so that it will get cacelled from the right side and only 7x will retain.


==> -4 +(-1)/8 =7x-(-1)/8 + (-1)/8


==> -4 +(-1)/8 = 7x --------------------------(1)

Now we have to simplify the left hand side.
Here we can rewrite the expressions as follows,

-4/1 +(-1)/8
Here the denominators are not same so first of all make it equal.

Find out the least common factor of 1 and 8, which is 8
Multiply whole term by 8 and put tha common denominator 8

==> {8* -4/1 +(-1)/8 }/8

==> { -32 - 1} /8

==> -33/8

==> -33/8


Now equation (1)-4 +(-1)/8 = 7x ==>

-33/8 = 7X

NOW DIVIDE BOTH SIDES BY 7

==> -33/8*7 = 7x/7

==> -33/56 = x

==> x = -33/56

Hope you understood.

Regards.
Praseenakos@yahoo.co.in