Question

Solve for w. 1/3w + 5/6w - 2 = -w

Answer 1

Answer: $w=\frac{12}{13}$

Step-by-step explanation:

To solve for w, we want to isolate the variable.

$\frac{1}{3}w +\frac{5}{6}w-2=-w$        [add both sides by 2 and w]

$\frac{1}{3}w +\frac{5}{6}w+w=2$           [convert to same denominator]

$\frac{2}{6}w +\frac{5}{6}w+\frac{6}{6} w=2$         [add]

$\frac{13}{6} w=2$                          [multiply both sides by 6/13]

$w=\frac{12}{13}$

Now we know that $w=\frac{12}{13}$.

Answer 2

Answer:

Step-by-step explanation:

1/3w + 5/6w - 2 = -w    Collect like terms on the left.

Before I do, I'm going to assume the question is (1/3)w + (5/6)w - 2 = - w

(1/3)w + (5/6)w - 2 = - w

 

1/3 + 5/6 = 2/6 + 5/6 = 7/6

(7/6)w - 2 = -w             Add w to both sides

(7/6)w + w - 2 = 0        Combine the left

(7/6)w + 6/6 w - 2 = 0

(13 / 6) w - 2 = 0          Add 2 to both sides

(13/ 6) w = 2                 Divide by 13/6

w = (2/1 ) ÷ (13/6)          Invert the denominator and multiply

w = 2/1 * 6/13

w = 12/13