### Home > CC3 > Chapter 6 > Lesson 6.2.1 > Problem6-50

6-50.

Determine if the statement below is true or false. Justify your conclusion.  Homework Help ✎

$2(3+5x)⇒6+5x$

Simplify both sides as much as possible and see if they are equal to each other.

$6+10x≟6+5x$

Now solve.

It depends. While the Distributive Property states that $a(b+c)=ab+ac$, in this case the value of $x$ is unknown.
The statement is false if $x\ne0$, but the statement is true if $x=0$.