-6/h-8 = 3/h+10. Solve for h

          h = -1/2 = -0.500

Step-by-step explanation:

   -6/h-8-(3/h+10)=0 

Step by step solution :

Step  1  :

3 Simplify — h

Equation at the end of step  1  :

6 3 ((0 - —) - 8) - (— + 10) = 0 h h

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

10 10 • h 10 = —— = —————— 1 h

3 + 10 • h 10h + 3 —————————— = ——————— h h

Equation at the end of step  2  :

6 (10h + 3) ((0 - —) - 8) - ————————— = 0 h h

Step  3  :

6 Simplify — h

Equation at the end of step  3  :

6 (10h + 3) ((0 - —) - 8) - ————————— = 0 h h

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

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

8 8 • h 8 = — = ————— 1 h

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

-6 - (8 • h) -8h - 6 ———————————— = ——————— h h

Equation at the end of step  4  :

(-8h - 6) (10h + 3) ————————— - ————————— = 0 h h

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   -8h - 6  =   -2 • (4h + 3) 

Adding fractions which have a common denominator :

 6.2       Adding fractions which have a common denominator

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

-2 • (4h+3) - ((10h+3)) -18h - 9 ——————————————————————— = ———————— h h

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   -18h - 9  =   -9 • (2h + 1) 

Equation at the end of step  7  :

-9 • (2h + 1) ————————————— = 0 h

Step  8  :

When a fraction equals zero :

 8.1    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.