2x+5=6x+11

To solve the equation \(2x + 5 = 6x + 11\), follow these steps: 1. Start by getting all terms involving \(x\) on one side and constant terms on the other side. You can do this by subtracting \(2x\) from both sides: \[ 5 = 6x - 2x + 11 \] This simplifies to: \[ 5 = 4x + 11 \] 2. Next, isolate the term with \(x\) by subtracting \(11\) from both sides: \[ 5 - 11 = 4x \] This simplifies to: \[ -6 = 4x \] 3. Finally, divide both sides by \(4\) to solve for \(x\): \[ x = \frac{-6}{4} = \frac{-3}{2} \] So, the solution is: \[ x = -\frac{3}{2} \]