#### Answer

$x=10$

#### Work Step by Step

Let x = the unknown number
Then
"five more than 4 times a number" means $5+4x$
"number increased by 35" means $x+35$
Thus, the equation that represents the situation is:
$5+4x=x+35$
Use the addition property of equality to subtract x from both sides of the equation.
$5+4x-x=x+35-x$
$5+3x=35$
Use the addition property of equality to subtract 5 from both sides of the equation.
$5+3x-5=35-5$
$3x=30$
Use the multiplication property of equality to divide both sides of the equation by 3.
$3x\div3=30\div3$
$x=10$