5x+3(x-1)=6x+11

To solve the equation \( 5x + 3(x - 1) = 6x + 11 \), let's first simplify the left side of the equation:

1. Distribute \( 3 \) in \( 3(x - 1) \): \[ 5x + 3x - 3 = 6x + 11 \]

2. Combine like terms on the left side: \[ 8x - 3 = 6x + 11 \]

3. Now, isolate \( x \) by moving all \( x \) terms to one side and constant terms to the other side. Subtract \( 6x \) from both sides: \[ 8x - 6x - 3 = 11 \] This simplifies to: \[ 2x - 3 = 11 \]

4. Next, add \( 3 \) to both sides: \[ 2x = 11 + 3 \] Which simplifies to: \[ 2x = 14 \]

5. Finally, divide by \( 2 \): \[ x = \frac{14}{2} = 7 \]

So, the solution to the equation \( 5x + 3(x - 1) = 6x + 11 \) is \( x = 7 \).