Question

What is the solution to this equation? You can choose to show your work below or solve on paper.
5(x+2)
=
2x+19

x
=

Answer 1

To solve the equation \( 5(x + 2) = 2x + 19 \), we start by distributing the 5 on the left side:

\[
5(x + 2) = 5x + 10
\]

Now, our equation looks like this:

\[
5x + 10 = 2x + 19
\]

Next, we want to get all terms involving \( x \) on one side and the constant terms on the other side. First, let's subtract \( 2x \) from both sides:

\[
5x - 2x + 10 = 19
\]

This simplifies to:

\[
3x + 10 = 19
\]

Now, we will subtract 10 from both sides to isolate the term with \( x \):

\[
3x = 19 - 10
\]

This simplifies to:

\[
3x = 9
\]

Finally, we divide both sides by 3 to solve for \( x \):

\[
x = \frac{9}{3}
\]

This gives us:

\[
x = 3
\]

So, the solution to the equation is:

\[
\boxed{3}
\]