#### Answer

$-1$

#### Work Step by Step

Distribute $-4$ to obtain:
$2x-20x-4=3x+17
\\-18x-4=3x+17$
Add $18x$ on both sides of the equation to obtain:
$-4=21x+17$
Subtract $17$ on both sides of the equation to obtain:
$-21 = 21x$
Divide by 21 on both sides of the equation to obtain:
$\frac{-21}{21}=x
\\-1=x$
Check:
$2(-1)-4(5\cdot(-1)+1)=3\cdot(-1)+17
\\-2-4(-5+1)=-3+17
\\-2-4(-4)=14
\\-2+16=14
\\14=14$