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

Answer 1

Genesis Allen

#x=3#

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#

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Answer 2

Jace Anderson

To solve the equation 7(2+x)=35 using the distributive property, distribute 7 to both terms inside the parentheses: 14 + 7x = 35. Then, subtract 14 from both sides to isolate the variable: 7x = 21. Finally, divide both sides by 7 to solve for x: x = 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.