Now that we have all of the x terms on the right, we can solve for the value of x. Think about what you could do to each side so that x is isolated on the right side of the equation. Then, rewrite the equation to solve for x.

Question

2(x+3)
=
3x+4

2x + 6
=
3x + 4
−
2x
−
2x

6
=
x+4

x
=

Answer 1

Let's go through the steps to isolate \( x \) in the equation you've provided.

Starting with the equation: \[ 2(x + 3) = 3x + 4 \]

Distributing the 2 on the left side: \[ 2x + 6 = 3x + 4 \]

Next, we want to get all the \( x \) terms on one side and the constants on the other side. We can subtract \( 2x \) from both sides: \[ 2x + 6 - 2x = 3x + 4 - 2x \] This simplifies to: \[ 6 = x + 4 \]

Now, to isolate \( x \), subtract 4 from both sides: \[ 6 - 4 = x + 4 - 4 \] This simplifies to: \[ 2 = x \]

So, the value of \( x \) is: \[ x = 2 \]