Consider this equation:
4(3x−2)=−24
How would you isolate the variable and solve for x?
You do NOT need to solve the problem. Simply describe your project.
To isolate the variable and solve for x in the given equation, the following steps need to be performed:
1. Distribute the 4 on the left side of the equation by multiplying it with each term inside the parentheses: 4 * 3x = 12x and 4 * -2 = -8. The equation would now appear as: 12x - 8 = -24.
2. Now, to isolate the variable x, we need to move the constant term (-8) to the right side of the equation. This can be done by adding 8 to both sides of the equation: 12x - 8 + 8 = -24 + 8, simplifying to 12x = -16.
3. Finally, to solve for x, divide both sides of the equation by the coefficient of x (12). It will result in the equation becoming: 12x / 12 = -16/12 or x = -4/3.
Therefore, the solution to the given equation is x = -4/3.