How do you solve 6x + 3 = -5x +14?

May 21, 2018

See a solution process below:

Explanation:

First, subtract $\textcolor{red}{3}$ and add $\textcolor{b l u e}{5 x}$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

$6 x + \textcolor{b l u e}{5 x} + 3 - \textcolor{red}{3} = - 5 x + \textcolor{b l u e}{5 x} + 14 - \textcolor{red}{3}$

$\left(6 + \textcolor{b l u e}{5}\right) x + 0 = 0 + 11$

$11 x = 11$

Now, divide each side of the equation by $\textcolor{red}{11}$ to solve for $x$ while keeping the equation balanced:

$\frac{11 x}{\textcolor{red}{11}} = \frac{11}{\textcolor{red}{11}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{11}}} x}{\cancel{\textcolor{red}{11}}} = 1$

$x = 1$

May 21, 2018

$x = 1$

Explanation:

$6 x + 3 = - 5 x + 14$

$\therefore 6 x + 5 x = 14 - 3$

$\therefore 11 x = 11$

$\therefore x = {\cancel{11}}^{1} / {\cancel{11}}^{1}$

$\therefore x = 1$