Question

consider this equation: 4(3x-2)=-24

Answer 1

consider this equation: 4(3x-2)=-24
part one. what is your first step in solving the equation?

part two. how would you isolate the variable and solve for x after you have completed part one?

Answer 2

To solve the equation 4(3x-2) = -24, we can follow these steps:

1. Start by distributing the 4 to the terms inside the parentheses:
4 * 3x - 4 * 2 = -24
12x - 8 = -24

2. Next, isolate the term with the variable.
Add 8 to both sides of the equation to move the constant term to the right side:
12x - 8 + 8 = -24 + 8
12x = -16

3. Finally, solve for x by dividing both sides of the equation by 12:
12x/12 = -16/12
x = -4/3

Therefore, the solution to the equation 4(3x-2) = -24 is x = -4/3.

Answer 3

Part one: The first step in solving the equation is to distribute the 4 to the terms inside the parentheses.

Part two: After distributing 4 to 3x and -2, the equation becomes 12x - 8 = -24. To isolate the variable x, we need to get rid of the -8 term on the left side. We do this by adding 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

The 12s cancel out on the left side, leaving us with:

x = -16/12

This can be simplified to:

x = -4/3