How do you solve 3(-2 - 3x) = -9x - 4 ?

May 26, 2018

NO SOLUTION or $\cancel{0}$

Explanation:

First, use the distributive property shown below to simplify $3 \left(- 2 - 3 x\right)$:

Following this image, we can expand it:
$\textcolor{b l u e}{3 \left(- 2 - 3 x\right) = \left(3 \cdot - 2\right) + \left(3 \cdot - 3 x\right) = - 6 - 9 x}$

Put it back into the equation:
$- 6 - 9 x = - 9 x - 4$

Add $\textcolor{b l u e}{9 x}$ to both sides of the equation:
$- 6 - 9 x \quad \textcolor{b l u e}{+ \quad 9 x} = - 9 x \quad \textcolor{b l u e}{+ \quad 9 x} - 4$

$- 6 = - 4$

However, now we have no more variables!

Now we have to see whether the left hand side equals to the left hand side. $- 6$ does NOT equal to $- 4$, therefore, the answer is NO SOLUTION or $\cancel{0}$.

Hope this helps!