# How do you solve  -21w + 5 = 3w - 1?

##### 2 Answers
Apr 15, 2018

$w = \frac{1}{4}$

#### Explanation:

$- 21 w + 5 = 3 w - 1$
$- 21 w \textcolor{red}{+ 21 w} + 5 = 3 w - 1 \textcolor{red}{+ 21 w}$
$+ 5 \textcolor{red}{+ 1} = 24 w - 1 \textcolor{red}{+ 1}$
$6 = 24 w$
$\frac{6}{24} = w$
$\frac{1 \cdot \cancel{6}}{4 \cdot \cancel{6}} = w$
$w = \frac{1}{4}$
\0/ here's our answer!

Apr 15, 2018

$w = \frac{1}{4}$ or $w = 0.25$

#### Explanation:

$- 21 w + 5 = 3 w - 1$

Step 1: subtract $5$ from both sides

$- 21 w + 5 - 5 = 3 w - 1 - 5$

Step 2: combine like terms and simplify

$- 21 w = 3 w - 6$

Step 3: Subtract $3 w$ from both sides to isolate the variable

$- 21 w - 3 w = - 6$

$- 24 w = - 6$

Step 4: Divide by $- 24$ on each side

$w = \frac{- 6}{-} 24$

Dividing by two negatives gives you a positive number so when simplifying, the negatives cancel out and you are able to divide each side by $6$, thus giving you an answer of

$w = \frac{1}{4}$ or $w = 0.25$.