To begin this problem, we are going to use the distributive property to slightly simplify both the right and left sides of the equation.
4+2[8-6-x] = -2x - 2 -4 +x
Next, we are going to use the order of operations, PEMDAS, to organize what we should do next. Parentheses first, so we should simplify the integers and variables in the parentheses.
4+2(2-x) = -2x - 2 -4 +x
Next, we are going to distribute on the left side of the equation.
4+4-2x = -2x - 2 - 4 + x
Now we should combine like terms on both sides of the equation.
8-2x= -x - 6
We are trying to get the variable and constants on opposite sides of the equation, so we are going to add 2x to both sides.
8=x-6
Now, we should add 6 to both sides to get x alone.
14=x.
Your final answer is x=14
