4-6(x+2)=3-5x

Let's solve the equation step by step:

1. Start with the equation: \[ 4 - 6(x + 2) = 3 - 5x \]

2. Distribute \(-6\) on the left side: \[ 4 - 6x - 12 = 3 - 5x \]

3. Combine like terms on the left: \[ -6x - 8 = 3 - 5x \]

4. To isolate the variable, add \(6x\) to both sides: \[ -8 = 3 + x \]

5. Next, subtract \(3\) from both sides: \[ -8 - 3 = x \] \[ -11 = x \]

Thus, the solution is: \[ x = -11 \]