SOLUTION: Heavens I have tried to solve this problem 4 different times and just can not figure out what I am doing wrong. Please help me. -7x-24=-26 1/3 I am supposed to have an interge

Algebra ->  Expressions-with-variables -> SOLUTION: Heavens I have tried to solve this problem 4 different times and just can not figure out what I am doing wrong. Please help me. -7x-24=-26 1/3 I am supposed to have an interge      Log On


   

Question 119482: Heavens I have tried to solve this problem 4 different times and just can not figure out what I am doing wrong. Please help me.
-7x-24=-26 1/3
I am supposed to have an interger or simplified fraction for x. I had thought the answer was -9
Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
-7x-24=-26 1/3
First step, change your mixed number to a fraction.
-26 1/3=-79/3
-7x-24=-79%2F3
-7x-24%2B24=-79%2F3%2B24 Add 24 to both sides of the equation.
-7x=-79%2F3%2B24
You need to change 24 to a fraction with a denominator of 3 to add the fractions.
24=72/3
-7x=-79%2F3%2B24
-7x=-79%2F3%2B72%2F3Substitute
-7x=%28-79%2B72%29%2F3Same denominator, just add numerators.
-7x=%28-7%29%2F3
x=%28-7%29%2F%283%28-7%29%29Divide both sides by (-7).
x=cross%28-7%29%2F%283%2Across%28-7%29%29(-7) in denominator and numerator cancel out.
x=1%2F3
Check your answer.
-7x-24=-26 1/3
-7(1/3)-24=-26 1/3
-7%281%2F3%29-72%2F3=-79%2F3
-7%2F3-72%2F3=-79%2F3
-%287%2B72%29%2F3=-79%2F3
-79%2F3=-79%2F3
Your answer led to a true statement.
It's a good answer.