solve the equation.\n-x + 8 + 3x = x - 6\no x = -18\no x = -14\no x = 2\no x = 4

Explanation:

Step1: Combine like - terms on the left - hand side

Combine $-x$ and $3x$: $(-x + 3x)+8=x - 6$, which simplifies to $2x+8=x - 6$.

Step2: Move the $x$ terms to one side

Subtract $x$ from both sides: $2x - x+8=x - x - 6$, resulting in $x + 8=-6$.

Step3: Solve for $x$

Subtract 8 from both sides: $x+8 - 8=-6 - 8$, so $x=-14$.

Answer:

$x = - 14$