6-8(x+2)=3-2x

To solve the equation \(6 - 8(x + 2) = 3 - 2x\), follow these steps:

1. Distribute \(-8\) on the left side: \[ 6 - 8x - 16 = 3 - 2x \] Simplifying the left side: \[ -8x - 10 = 3 - 2x \]

2. Add \(8x\) to both sides to get all \(x\) terms on one side: \[ -10 = 3 + 6x \]

3. Subtract \(3\) from both sides: \[ -10 - 3 = 6x \] \[ -13 = 6x \]

4. Divide by \(6\) to solve for \(x\): \[ x = -\frac{13}{6} \]

Thus, the solution to the equation is \[ x = -\frac{13}{6}. \]