Final answer:
To solve the equation 3-2x-(-4x-6)=- 3(2x-4), simplify and combine like terms, isolate x, and solve for x which is 3/4.
Step-by-step explanation:
To solve the equation 3-2x-(-4x-6)=- 3(2x-4), we need to simplify both sides of the equation and combine similar terms.
On the left side, when we distribute the negative sign to -(-4x-6), we get 3-2x+4x+6.
Combining similar terms, we have 3+2x+4x+6.
Simplifying further, we have 9+6x.
On the right side, we distribute the -3 to (2x-4), which gives us -6x+12.
So now our equation becomes 9+6x=-6x+12.
Next, we want to isolate the variable x. To do this, we will move all terms with x to one side and all constants to the other side of the equation.
Adding 6x to both sides, we get 9+12x=12.
Subtracting 9 from both sides, we have 12x=3.
Finally, dividing both sides by 12, we find that x=3/4.