Final answer:
To solve the equation -3(x-4)=2x+4-x, simplify each side of the equation and find the value of x. The value of x is x = 4/3.
Step-by-step explanation:
To solve the equation -3(x-4)=2x+4-x, we will simplify each side of the equation and find the value of x. First, distribute -3 to (x-4): -3x+12=2x+4-x. Then, combine like terms on both sides of the equation: -3x+12=3x+4. Next, move the variables to one side of the equation and the constants to the other side: -3x-3x=4-12. Simplifying further: -6x=-8. Finally, divide both sides of the equation by -6 to solve for x: x=-8/-6. Therefore, the value of x is x = 4/3.