Fill in the blank: \( 12(8 x-4)=-x-48 \) *

Solve the equation by following steps: - step0: Solve for \(x\): \(12\left(8x-4\right)=-x-48\) - step1: Expand the expression: \(96x-48=-x-48\) - step2: Cancel equal terms: \(96x=-x\) - step3: Add or subtract both sides: \(96x-\left(-x\right)=0\) - step4: Subtract the terms: \(97x=0\) - step5: Rewrite the expression: \(x=0\) To solve the equation \( 12(8x - 4) = -x - 48 \), we can follow these steps: 1. **Distribute the left side**: \[ 12(8x) - 12(4) = 96x - 48 \] So, the equation becomes: \[ 96x - 48 = -x - 48 \] 2. **Add \( x \) to both sides** to eliminate \( -x \) from the right side: \[ 96x + x - 48 = -48 \] This simplifies to: \[ 97x - 48 = -48 \] 3. **Add 48 to both sides** to isolate the term with \( x \): \[ 97x - 48 + 48 = -48 + 48 \] This simplifies to: \[ 97x = 0 \] 4. **Divide both sides by 97** to solve for \( x \): \[ x = \frac{0}{97} = 0 \] Thus, the solution to the equation is \( x = 0 \).