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.

Question

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: \[ \boxed{3} \]