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

x = 11/5

Explanation:

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

5x - 21 = -10

5x = 11

x = 11/5

Answer 2

x = 11/9

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