# If the first step in the solution of the equation -9 +x= 5x- 7 is "subtract x," then what should the next step be?

Feb 8, 2018

$x = - \left(\frac{1}{2}\right)$

#### Explanation:

$- 9 + x = 5 x - 7$

Subtract x from both sides.

$- 9 \cancel{+ x} \cancel{- x} = 5 x - 7 - x$

$- 9 = {\cancel{5}}^{4} x \cancel{- x} - 7 = 4 x$

$- {\cancel{9}}^{2} \cancel{+ 7} = 4 x \cancel{- 7} \cancel{+ 7}$
$- 2 = 4 x$
$- {\cancel{2}}^{1} / {\cancel{4}}^{2} = \frac{\cancel{4} x}{\cancel{4}}$
$x = - \left(\frac{1}{2}\right)$