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
=

1 answer

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:

\[ \boxed{3} \]