4(3x−2)=−24
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?
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 equation becomes 12x - 8 = -24. To isolate the variable, we can add 8 to both sides of the equation:
12x - 8 + 8 = -24 + 8
This simplifies to:
12x = -16
Finally, to solve for x, we divide both sides of the equation by 12:
12x/12 = -16/12
This simplifies to:
x = -4/3 or -1.33 (rounded to two decimal places)
Part 1: The first step in solving this equation is to simplify the expression on the left side of the equation. To do this, we need to apply the distributive property by multiplying 4 to each term inside the parentheses.
So, we have:
4(3x - 2) = -24
Expanding the expression, we get:
12x - 8 = -24
Part 2: To isolate the variable x, we need to undo the operations that are being done to it. In this case, the variable x is being multiplied by 12, and 8 is being subtracted from it.
To isolate x, we will first add 8 to both sides of the equation:
12x - 8 + 8 = -24 + 8
This simplifies to:
12x = -16
Next, we will divide both sides of the equation by 12 to solve for x:
12x/12 = -16/12
Simplifying further:
x = -4/3.
Therefore, x is equal to -4/3.