10(2-x)+11x=-3x

To solve the equation \(10(2 - x) + 11x = -3x\), follow these steps: 1. Distribute the \(10\) on the left side: \[ 10 \cdot 2 - 10 \cdot x + 11x = -3x \] which simplifies to: \[ 20 - 10x + 11x = -3x \] 2. Combine like terms on the left side: \[ 20 + x = -3x \] 3. Next, move \(x\) to the right side by adding \(3x\) to both sides: \[ 20 + x + 3x = 0 \] which simplifies to: \[ 20 + 4x = 0 \] 4. Subtract \(20\) from both sides: \[ 4x = -20 \] 5. Finally, divide both sides by \(4\): \[ x = -5 \] The solution to the equation is \(x = -5\).