### Video Transcript

Find the value of 𝑥 if two 𝑥
equals one.

In this question, we are asked to
find the value of 𝑥 given an equation involving this unknown 𝑥.

To answer this question, we can
start by recalling that in an equation both sides of the equation are equal. So we know that two times 𝑥 must
be equal to one. This means that we can apply the
same operations to both sides of the equation so that they remain equal. For instance, we can divide both
sides of the equation by two. On the left-hand side of the
equation, we are left with 𝑥, since two 𝑥 over two is just 𝑥. On the right-hand side of the
equation we have one over two, which is one-half.

Since we have isolated 𝑥 on one
side of the equation, we can conclude that 𝑥 equals one-half is a solution to this
equation. We can verify that this is a
solution to the equation by substituting this value back into the equation. Substituting 𝑥 equals one-half
into the left-hand side of the equation gives us two times one-half, which we can
calculate is equal to one. This confirms that 𝑥 equals
one-half is a solution to the equation two 𝑥 equals one.