Consider this equation:
4(3x−2)=−24
How would you isolate the variable and solve for x?
To isolate the variable x in the equation 4(3x - 2) = -24, you need to perform the following steps:
1. Distribute the 4 to the terms inside the parentheses:
12x - 8 = -24
2. Add 8 to both sides of the equation to move the constant term to the other side:
12x = -16
3. Divide both sides by 12 to solve for x:
x = -16/12
4. Simplify the right side of the equation:
x = -4/3
Therefore, the solution for x is -4/3.