#### Answer

x = -7

#### Work Step by Step

$\frac{3}{7}$x + 2 = $-\frac{4}{7}x$ - 5
Add $\frac{4}{7}x$ to both sides:
$\frac{7}{7}$x + 2 = -5
x + 2 = -5
Subtract 2 fro both sides:
x = -7
Check with substitution:
$\frac{3}{7}$(-7) + 2 = $-\frac{4}{7}$(-7) - 5
-3 + 2 = 4 - 5
-1 = -1