Question

How can i solve -8 = x + 11/ -2

Answer 1

Remember you can do anything to an equation as long as you do it to both sides

-8=(x+11)/-2
times both sides by -2
remember that negative tiems negative=positive
16=x+11
minus 11 both sides
16-11=x+11-11
5=x+0
5=x
x=5

Answer 2

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole 

Rewrite the whole as a fraction using  -2  as the denominator :

x x • -2 x = — = —————— 1 -2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole 

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 2 + 11 • -1 2x - 11 ——————————————— = ——————— 2 2 Equation at the end of step  2  : (2x - 11) -8 - ————————— = 0 2 Step  3  :Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole 

Rewrite the whole as a fraction using  2  as the denominator :

-8 -8 • 2 -8 = —— = —————— 1 2 Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions 

-8 • 2 - ((2x-11)) -2x - 5 —————————————————— = ——————— 2 2 Step  4  :Pulling out like terms :

 4.1     Pull out like factors :

   -2x - 5  =   -1 • (2x + 5) 

Equation at the end of step  4  : -2x - 5 ——————— = 0 2 Step  5  :When a fraction equals zero : 5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

-2x-5 ————— • 2 = 0 • 2 2

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   -2x-5  = 0

Solving a Single Variable Equation :

 5.2      Solve  :    -2x-5 = 0 

 Add  5  to both sides of the equation : 
                      -2x = 5 
Multiply both sides of the equation by (-1) :  2x = -5 


Divide both sides of the equation by 2:
                     x = -5/2 = -2.500 

solution                   x = -5/2 = -2.500