Answer
$x = 4$
Work Step by Step
To solve the equation
$3x + 6 - x = 8 + 3x - 6$
we want to isolate the variable on one side of the equation and the constant terms on the other side.
Therefore, we subtract $-3x$ from both sides:
$6 - x = 8 - 6$
We then subtract $6$ from both sides to isolate the constants on the other side of the equation:
$-x = 8 - 6 - 6$
Simplify the equation on the right-hand side:
$-x = -4$
Now you divide both sides by $-1$ to isolate the $x$ term:
$x = 4$