To solve the equation \( 12 + 4(x - 3) - 2x = (5 - 3x) + 9 \), let's start by simplifying both sides.
Step 1: Simplify both sides.
Left side: \[ 12 + 4(x - 3) - 2x = 12 + 4x - 12 - 2x = 2x \]
Right side: \[ (5 - 3x) + 9 = 5 - 3x + 9 = 14 - 3x \]
So the equation can be rewritten as: \[ 2x = 14 - 3x \]
Step 2: Solve for \(x\).
Add \(3x\) to both sides: \[ 2x + 3x = 14 \] \[ 5x = 14 \]
Now, divide by \(5\): \[ x = \frac{14}{5} \]
Final Answer:
\[ x = \frac{14}{5} \] or \(x = 2.8\) in decimal form.
