Question

Solve
−2(x+8)+6=7(x−3) for x algebraically. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal.

Answer 1

Answer:

x = 11/5

Step-by-step explanation:

-2x - 16 + 6 = 7x - 21

5x - 21 = -10

5x = 11

x = 11/5

Answer 2

Answer:

x = 11/9

Step-by-step explanation:

-2(x + 8 ) + 6 = 7(x - 3)       {Use distributive property: a(b +c)= a*b +a*c) }

-2x + 8*(-2) + 6 = 7*x - 3*7

-2x - 16 +6 = 7x - 21          {add 2x to both sides}

       -10 = 7x + 2x - 21

       -10 = 9x - 21      {add 21 to both sides}

-10 + 21 = 9x  

     11   = 9x         {divide both sides by 9)

     11/9 = x