How do you solve #7(2+x)=35# using the distributive property?

1 Answer
Feb 20, 2017

Answer:

#x=3#

Explanation:

Distribute the 7 into the parentheses. Note that the coefficient in front of the x is 1

#7 xx 2 = 14#

# 7 xx 1 = 7#

Your problem can be rewritten as:

#14+7x=35#

Now solve for x. Subtract 14 on both sides and then divide by 7:

#7x=21#

#x=3#

You can also do this dividing both sides of the equation in the beginning and simplifying:

#(7/7)(2+x)=35/7#

#2+x=5#

#x=3#