# How do you evaluate 9- 4( x + 1) - 3= 9+ 2( 4- 2x ) - 16?

May 2, 2018

No Solution or $\cancel{0}$.

#### Explanation:

$9 - 4 \left(x + 1\right) - 3 = 9 + 2 \left(4 - 2 x\right) - 16$

First, combine like terms:
$6 - 4 \left(x + 1\right) = - 7 + 2 \left(4 - 2 x\right)$

Now distribute/expand:
$6 - 4 x - 4 = - 7 + 8 - 4 x$

$2 - 4 x = 1 - 4 x$

Subtract $\textcolor{b l u e}{2}$ from both sides of the equation:
$2 - 4 x \quad \textcolor{b l u e}{- \quad 2} = 1 - 4 x \quad \textcolor{b l u e}{- \quad 2}$

$- 4 x = - 1 - 4 x$

Add $\textcolor{b l u e}{4 x}$ to both sides of the equation:
$- 4 x \quad \textcolor{b l u e}{+ \quad 4 x} = - 1 - 4 x \quad \textcolor{b l u e}{+ \quad 4 x}$

$0 = - 1$

We don't have variables anymore! Now what we do is see if this equation is true. $0$ does NOT equal to $- 1$, so it is false.

When it is false, that means there is No Solution or $\cancel{0}$.

Hope this helps!