To solve the equation \(3x + 2 - 6x = 8x\), follow these steps:
Combine like terms on the left side: \[ 3x - 6x + 2 = -3x + 2 \] So the equation becomes: \[ -3x + 2 = 8x \]
Next, add \(3x\) to both sides to isolate the terms with \(x\): \[ 2 = 8x + 3x \] This simplifies to: \[ 2 = 11x \]
Now, divide both sides by \(11\) to solve for \(x\): \[ x = \frac{2}{11} \]
So the solution is: \[ x = \frac{2}{11} \]
