# Determine whether the given problem is an equation or an expression. If it is an

Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. $\frac{2}{5}\left(x+4\right)+\frac{1}{3}\left(x-2\right)$

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Step 1
Given:
$\frac{2}{5}\left(x+4\right)+\frac{1}{3}\left(x-2\right)$
Step 2
$\frac{2}{5}\left(x+4\right)+\frac{1}{3}\left(x-2\right)$
given is an algebraic expression
$\frac{2}{5}\left(x+4\right)+\frac{1}{3}\left(x-2\right)$
$=\frac{2}{5}x+\frac{8}{5}+\frac{x}{3}-\frac{2}{3}$
$=\frac{2x}{5}+\frac{x}{3}+\frac{8}{5}-\frac{2}{3}$
$=\frac{6x+5x}{15}+\frac{24-10}{15}$
$=\frac{11x+14}{15}$
$=\frac{11x}{15}+\frac{14}{15}$