Answer
$x=1$
Work Step by Step
$$\begin{align*}
5(3)-5(x)+2(3)-2(x)&=14 &\text{Apply the Distributive Property.}\\
15-5x+6-2x&=14 &\text{Simplify.}\\
21-7x&=14 &\text{Combine like terms.}\\
21-7x-21&=14-21 &\text{Subtract 21 from each side.}\\
-7x&=-7 &\text{Simplify.}\\
\frac{-7x}{-7}&=\frac{-7}{-7} &\text{Divide -7 to both sides.}\\
x&=1
\end{align*}$$
Check the answer by substituting $1$ to the variable $x$ in the given equation.
$$\begin{align*}
5(3-x)+2(3-x)&=14\\
5(3-1)+2(3-1)&\stackrel{?}{=}14\\
10+4&\stackrel{?}{=}14\\
14&\stackrel{\checkmark}{=}14
\end{align*}$$
Thus, the solution is $x=1$.
