Five times the sum of twice a number, x, and seven is thirty-five. What is the number?

1 Answer
Sep 25, 2017

x=0

Explanation:

To write that as an equation, it would be 5(2x+7)=35, since in 'Five times', 5 would go outside the parentheses and 'the sum of twice a number, x, and seven' would be inside the parentheses, and would look like (2x+7). 'Is thirty-five' is respectively =35.

Solving for x:

5(2x+7)=35

Use the distributive property
10x+35=35

Subtract 35 on both sides
10x+35-35=35-35

10x=0

10x/10=0/10 is 0.

Check:

5[2(0)+7]=35
5(7)=35
35=35