How do you solve -32=8/7(3w-1)?

Oct 5, 2016

$w = - 9$

Explanation:

Multiplying both sides of the equation by 7 will eliminate the fraction.

$- 32 \times 7 = {\cancel{7}}^{1} \times \frac{8}{\cancel{7}} ^ 1 \left(3 w - 1\right)$

$\Rightarrow - 224 = 8 \left(3 w - 1\right)$

distribute the bracket.

$- 224 = 24 w - 8$

$\Rightarrow 24 w - 8 = - 224 \leftarrow \text{ reversing the equation}$

$24 w \cancel{- 8} \cancel{+ 8} = - 224 + 8$
$\Rightarrow 24 w = - 216$
$\frac{\cancel{24} w}{\cancel{24}} = - \frac{216}{24}$
$\Rightarrow w = - 9 \text{ is the solution}$