iohanetc

2021-09-28

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. $\frac{2}{5}\left(x+4\right)+\frac{1}{3}\left(x-2\right)$

rogreenhoxa8

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
$\frac{2}{5}\left(x+4\right)+\frac{1}{3}\left(x-2\right)$
$=\frac{2}{5}x+\frac{8}{5}+\frac{x}{3}-\frac{2}{3}$
$=\frac{2x}{5}+\frac{x}{3}+\frac{8}{5}-\frac{2}{3}$
$=\frac{6x+5x}{15}+\frac{24-10}{15}$
$=\frac{11x+14}{15}$
$=\frac{11x}{15}+\frac{14}{15}$

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