Question

Keep going to solve for x. Think about what move you could make on each side so that x is isolated on the left side of the equation. Then rewrite the equation to solve for x.
5(x+2)
=
2x+19

5x + 10
=
2x + 19
−
2x
−
2x

3x + 10
=
19
−
10
−
10
3x
=
9

x
=

Answer 1

Let's solve for \( x \) step by step, following your provided steps and completing the arithmetic:

Starting with the equation:
\[
5(x + 2) = 2x + 19
\]

Distributing on the left side:
\[
5x + 10 = 2x + 19
\]

Next, we'll subtract \( 2x \) from both sides to isolate \( x \) terms on the left:
\[
5x + 10 - 2x = 19
\]
This simplifies to:
\[
3x + 10 = 19
\]

Next, we subtract 10 from both sides to get:
\[
3x + 10 - 10 = 19 - 10
\]
This simplifies to:
\[
3x = 9
\]

Now, divide both sides by 3:
\[
x = \frac{9}{3}
\]
This results in:
\[
x = 3
\]

So the solution is:
\[
\boxed{3}
\]