To solve the equation \(12 + 4(x - 3) - 2x = (5 - 3x) + 9\), we will simplify both sides step by step.
Expand and simplify both sides of the equation.
Left side: \[ 12 + 4(x - 3) - 2x = 12 + 4x - 12 - 2x = 4x - 2x + 12 - 12 = 2x \]
Right side: \[ (5 - 3x) + 9 = 5 - 3x + 9 = 14 - 3x \]
Now the equation is: \[ 2x = 14 - 3x \]
Combine like terms. To solve for \(x\), we can add \(3x\) to both sides: \[ 2x + 3x = 14 \] \[ 5x = 14 \]
Divide by 5 to find \(x\): \[ x = \frac{14}{5} \]
Thus, the solution is: \[ \boxed{\frac{14}{5}} \quad \text{or} \quad 2.8 \]
