Question

What is the solution to the equation
2(2x + 1) = 3( 3x + 4)?
A. x = 3/2
B. x = 7
C. x = -2
D. x = 7/2

Answer 1

To solve the equation, let's first distribute on both sides:

2(2x + 1) = 3(3x + 4)

Expanding:

4x + 2 = 9x + 12

Next, let's combine like terms by subtracting 4x from both sides:

2 = 5x + 12

Now, let's subtract 12 from both sides:

-10 = 5x

Finally, divide both sides by 5:

-2 = x

The solution to the equation is x = -2. Therefore, the correct answer is C.