5x+(3x-3)=6x+11

To solve the equation \(5x + (3x - 3) = 6x + 11\), we will first simplify both sides of the equation. 1. Distribute and combine like terms on the left side: \[ 5x + 3x - 3 = 6x + 11 \] This simplifies to: \[ 8x - 3 = 6x + 11 \] 2. Next, we will isolate \(x\) by subtracting \(6x\) from both sides: \[ 8x - 6x - 3 = 11 \] This simplifies to: \[ 2x - 3 = 11 \] 3. Now add 3 to both sides to get rid of the constant term on the left side: \[ 2x - 3 + 3 = 11 + 3 \] This simplifies to: \[ 2x = 14 \] 4. Finally, divide both sides by 2 to solve for \(x\): \[ x = \frac{14}{2} = 7 \] So, the solution is: \[ \boxed{7} \]