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

Let's solve the equation step by step.

The equation is:

\[ 6 - 8(x + 2) = 3 - 2x \]

1. Distribute \(-8\) to both terms inside the parentheses: \[ 6 - 8x - 16 = 3 - 2x \] Simplifying the left side: \[ -8x - 10 = 3 - 2x \]

2. Next, let's add \(8x\) to both sides to move \(x\) terms to the right: \[ -10 = 3 + 6x \]

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

4. Finally, divide both sides by \(6\) to solve for \(x\): \[ x = -\frac{13}{6} \]

So, the solution is: \[ x = -\frac{13}{6} \] or approximately \(-2.17\).