What is the solution to the equation 2(2x+1) = 3(3x+4)?

Answer 1

Let's distribute on both sides of the equation:

2(2x + 1) = 3(3x + 4)
4x + 2 = 9x + 12

Now, let's isolate x.

Subtract 4x from both sides:
4x + 2 - 4x = 9x + 12 - 4x
2 = 5x + 12

Subtract 12 from both sides:
2 - 12 = 5x + 12 - 12
-10 = 5x

Finally, divide by 5 on both sides:
-10 / 5 = 5x / 5
-2 = x

Therefore, the solution to the equation 2(2x + 1) = 3(3x + 4) is x = -2.