Part 1. What is your first step in solving this equation? Remember, there is more than one way to solve this equation. Part 2. How would you isolate the variable and solve for x after you have completed Part 1?
The equation just so happens to be 4(3x - 2) = -24
Don't do 4 to 3 and 2 just do the other way where you divide both sides by 4
Part 1. The first step in solving this equation is to distribute the 4 to the terms inside the parentheses.
Part 2. After distributing the 4, the equation becomes 12x - 8 = -24. To isolate the variable x, you would add 8 to both sides of the equation to eliminate the constant term on the left side. This results in 12x = -16. Finally, divide both sides by 12 to solve for x. The solution is x = -16/12 or x = -4/3.
Part 1: To solve the equation 4(3x - 2) = -24, we can use the distributive property to simplify the expression on the left side of the equation.
Step 1: Distribute the 4 to the terms inside the parentheses:
4 * 3x = 12x
4 * -2 = -8
This simplifies the equation to: 12x - 8 = -24
Now we move on to Part 2 to isolate the variable x and solve for it.
Part 2: To isolate the variable x, we will perform operations to eliminate any constants or terms on the same side as the variable.
Step 2: First, we need to get rid of the constant term, -8, on the left side of the equation. We can do this by adding 8 to both sides of the equation to keep it balanced:
12x - 8 + 8 = -24 + 8
This simplifies the equation to: 12x = -16
Step 3: Now we can isolate the variable by getting rid of the coefficient of 12 in front of x. To do this, we divide both sides of the equation by 12.
(12x)/12 = (-16)/12
This simplifies the equation to: x = -16/12
Step 4: Finally, we can simplify the fraction -16/12 by reducing it to its simplest form. The greatest common divisor of 16 and 12 is 4:
x = -16/12 = -4/3
So the solution to the equation 4(3x - 2) = -24 is x = -4/3.