Ace Algebra 2025 – Your Ultimate Equation Adventure Awaits!

Question: 1 / 400

Solve for x: 3(x + 2) = 2(x + 4).

x = 0

x = 1

x = 2

To find the value of x in the equation $3(x + 2) = 2(x + 4)$, we can start by distributing the constants on both sides of the equation.

First, distribute the 3 on the left side:

3(x + 2) = 3x + 6

Next, distribute the 2 on the right side:

2(x + 4) = 2x + 8

Now, substituting these back into the equation gives:

3x + 6 = 2x + 8

Next, we want to isolate x. To do that, we can subtract $2x$ from both sides:

3x - 2x + 6 = 8

which simplifies to:

x + 6 = 8

Now, we can subtract 6 from both sides to solve for x:

x = 8 - 6

This simplifies to:

x = 2

Thus, the correct solution is $x = 2$. This means that when you substitute $x = 2$ back into

x = 3

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