2-3(2x+2)=5-4x

To solve the equation \(2 - 3(2x + 2) = 5 - 4x\), follow these steps:

1. Distribute \(-3\) on the left side: \[ 2 - 6x - 6 = 5 - 4x \]

2. Combine the constants on the left side: \[ -6x - 4 = 5 - 4x \]

3. Add \(4x\) to both sides to move \(x\) terms to one side: \[ -6x + 4x - 4 = 5 \] \[ -2x - 4 = 5 \]

4. Add \(4\) to both sides to isolate the term with \(x\): \[ -2x = 5 + 4 \] \[ -2x = 9 \]

5. Divide both sides by \(-2\): \[ x = \frac{9}{-2} \] \[ x = -\frac{9}{2} \]

So, the solution to the equation is: \[ x = -\frac{9}{2} \]