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

Feb 20, 2017

$x = 3$

Explanation:

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

$7 \times 2 = 14$

$7 \times 1 = 7$

Your problem can be rewritten as:

$14 + 7 x = 35$

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

$7 x = 21$

$x = 3$

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

$\left(\frac{7}{7}\right) \left(2 + x\right) = \frac{35}{7}$

$2 + x = 5$

$x = 3$