## Introductory Algebra for College Students (7th Edition)

$x=10$
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. $3x\div3=30\div3$ $x=10$