How do you solve -x + 3= 5?

Mar 28, 2018

x = -2

Explanation:

$- x + 3 = 5$

Subtract 3 on both sides of the equation.

$- x = 2$

Divide by -1 on both sides.

$x = - 2$

Mar 28, 2018

The solution is $x = - 2$.

Explanation:

First, subtract $3$ from both sides, then multiply both sides by $- 1$:

$- x + 3 = 5$

$- x + 3 \textcolor{b l u e}{-} \textcolor{b l u e}{3} = 5 \textcolor{b l u e}{-} \textcolor{b l u e}{3}$

$- x \textcolor{red}{\cancel{\textcolor{b l a c k}{\textcolor{b l a c k}{+} 3 \textcolor{b l u e}{-} \textcolor{b l u e}{3}}}} = 5 \textcolor{b l u e}{-} \textcolor{b l u e}{3}$

$- x = 5 \textcolor{b l u e}{-} \textcolor{b l u e}{3}$

$- x = 2$

$- x \textcolor{b l u e}{\cdot - 1} = 2 \textcolor{b l u e}{\setminus \cdot - 1}$

$\textcolor{red}{\cancel{\textcolor{b l a c k}{-}}} x \textcolor{b l u e}{\cdot \textcolor{red}{\cancel{\textcolor{b l u e}{-}}} 1} = 2 \textcolor{b l u e}{\setminus \cdot - 1}$

$x \textcolor{b l u e}{\cdot 1} = 2 \textcolor{b l u e}{\setminus \cdot - 1}$

$x = 2 \textcolor{b l u e}{\setminus \cdot - 1}$

$x = - 2$

That's the answer. Hope this helped!