Question

How do I solve for w? 5(w+2)-8w=34

Answer 1

Answer:

w = -8

Step-by-step explanation:

Solve for w:

5 (w + 2) - 8 w = 34

5 (w + 2) = 5 w + 10:

5 w + 10 - 8 w = 34

Grouping like terms, 5 w - 8 w + 10 = 10 + (5 w - 8 w):

10 + (5 w - 8 w) = 34

5 w - 8 w = -3 w:

-3 w + 10 = 34

Subtract 10 from both sides:

(10 - 10) - 3 w = 34 - 10

10 - 10 = 0:

-3 w = 34 - 10

34 - 10 = 24:

-3 w = 24

Divide both sides of -3 w = 24 by -3:

(-3 w)/(-3) = 24/(-3)

(-3)/(-3) = 1:

w = 24/(-3)

The gcd of 24 and -3 is 3, so 24/(-3) = (3×8)/(3 (-1)) = 3/3×8/(-1) = 8/(-1):

w = 8/(-1)

Multiply numerator and denominator of 8/(-1) by -1:

Answer:  w = -8

Answer 2

Answer:

w=-8

Step-by-step explanation:

5 (w+2)-8w =34

5w+10 -8w =34

10- 3w=34

10-34=3w

-24/3=w

w=-8