# How do you solve -5=-2 (x+1)-2(2- x)?

Apr 30, 2018

No Solution or $\cancel{0}$.

#### Explanation:

$- 5 = - 2 \left(x + 1\right) - 2 \left(2 - x\right)$

This is how you distribute something:

Following this image, we know that:
$- 2 \left(x + 1\right) = - 2 \cdot x - 2 \cdot 1 = - 2 x - 2$

$- 2 \left(2 - x\right) = - 2 \cdot 2 - 2 \cdot - x = - 4 + 2 x$

Now let's put these expressions back into the equation:
$- 5 = - 2 x - 2 - 4 + 2 x$

Let's color code the like terms on the right side of the equation:
$- 5 = \textcolor{m a \ge n t a}{- \quad 2 x} \quad \textcolor{b l u e}{- \quad 2 \quad - \quad 4} \quad \textcolor{m a \ge n t a}{+ \quad 2 x}$

Combine like terms:
$- 5 = - 6$

However, now we don't have a variable to solve for! Now we look at whether this equation is true. Is it true that $- 5 = - 6$? NO!

That means the answer is No Solution or $\cancel{0}$.

Hope this helps!