### Video Transcript

Solve for 𝑥: 𝑥 plus 4.8 equals
negative 8.9.

This equation tells us that some
value when we add 4.8 is equal to negative 8.9. When we see the word “solve” here,
it means that we want to know which value for 𝑥 makes this statement true. If the equation has add 4.8, to
solve it, we’ll need to do the inverse of adding 4.8. The inverse property says that any
number added to its opposite will equal zero. But we also know, based on the
subtraction property of equality, that if we subtract 4.8 from the left side of the
equation, we must subtract 4.8 from the right side of the equation to make sure they
stay equal. We now have on the left 𝑥 plus
zero. We can just write that as 𝑥. And then, we have negative 8.9
minus 4.8, which equals negative 13.7. If we’ve calculated this correctly,
we can plug in negative 13.7 in for 𝑥. And we’ll get a true statement.

We need to know is negative 13.7
plus 4.8 equal to negative 8.9. If we want to add 4.8 to negative
13.7, we subtract the two values first, which gives us 8.9 and then it takes the
sign of the larger number. 13.7 was negative. So, the final answer will be
negative. Negative 13.7 plus 4.8 does equal
negative 8.9, which means the solution of 𝑥 is negative 13.7.