12-(16-8х+х*х)=3х-х*х

Let's solve the equation step by step:

Given: \[ 12 - (16 - 8x + x^2) = 3x - x^2 \]

First, simplify the left side:

1. Distribute the negative sign inside the parentheses: \[ 12 - 16 + 8x - x^2 \]

2. Combine like terms: \[ -4 + 8x - x^2 \]

So the left side simplifies to: \[ -x^2 + 8x - 4 \]

Now, we can rewrite the equation: \[ -x^2 + 8x - 4 = 3x - x^2 \]

Next, we can eliminate \( -x^2 \) from both sides: \[ 8x - 4 = 3x \]

Now, subtract \( 3x \) from both sides: \[ 8x - 3x - 4 = 0 \] \[ 5x - 4 = 0 \]

Now, solve for \( x \): \[ 5x = 4 \] \[ x = \frac{4}{5} \]

Thus, the solution to the equation is: \[ x = \frac{4}{5} \]