$$348 \div (x+7)+9=38$$
$x=5$
$$348+\left(x+7\right)\times 9=38\left(x+7\right)$$
$$348+9x+63=38\left(x+7\right)$$
$$411+9x=38\left(x+7\right)$$
$$411+9x=38x+266$$
$$411+9x-38x=266$$
$$411-29x=266$$
$$-29x=266-411$$
$$-29x=-145$$
$$x=\frac{-145}{-29}$$
$$x=5$$
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