#### Answer

$x=5c+2a$

#### Work Step by Step

Distribute -1 to the terms in the parentheses on the left hand side.
$5x-2a-c=4(x+c)$
Distribute 4 to the terms in the parentheses on the right hand side.
$5x-2a-c=4x+4c$
Add 2a to both sides.
$5x-c=4x+4c+2a$
Add c to both sides.
$5x=4x+5c+2a$
Subtract 4x from both sides.
$x=5c+2a$