Consider this equation:
4(3x−2)=−24
What is your first step in solving this equation?
13 answers
The first step in solving this equation is to distribute the 4 to the terms inside the parentheses.
show the steps and isolate it
Sure! Here are the steps to solve the equation:
1. Distribute the 4 to the terms inside the parentheses:
4(3x - 2) = -24
12x - 8 = -24
2. Add 8 to both sides of the equation to isolate the variable term:
12x - 8 + 8 = -24 + 8
12x = -16
3. Divide both sides of the equation by 12 to solve for x:
(12x) / 12 = (-16) / 12
x = -16/12
x = -4/3
Therefore, the solution to the equation is x = -4/3.
1. Distribute the 4 to the terms inside the parentheses:
4(3x - 2) = -24
12x - 8 = -24
2. Add 8 to both sides of the equation to isolate the variable term:
12x - 8 + 8 = -24 + 8
12x = -16
3. Divide both sides of the equation by 12 to solve for x:
(12x) / 12 = (-16) / 12
x = -16/12
x = -4/3
Therefore, the solution to the equation is x = -4/3.
make it simple
Certainly! Here are the simplified steps to solve the equation:
1. Distribute the 4 to the terms inside the parentheses:
12x - 8 = -24
2. Add 8 to both sides of the equation:
12x - 8 + 8 = -24 + 8
12x = -16
3. Divide both sides of the equation by 12:
x = -16/12
x = -4/3
So, the solution to the equation is x = -4/3.
1. Distribute the 4 to the terms inside the parentheses:
12x - 8 = -24
2. Add 8 to both sides of the equation:
12x - 8 + 8 = -24 + 8
12x = -16
3. Divide both sides of the equation by 12:
x = -16/12
x = -4/3
So, the solution to the equation is x = -4/3.
can you show the distribute of 4
Certainly! Here's a step-by-step breakdown of the distribution of 4 to the terms inside the parentheses:
Given equation: 4(3x - 2) = -24
1. Distribute the 4 to each term inside the parentheses:
4 * 3x = 12x
4 * -2 = -8
The equation becomes: 12x - 8 = -24
Now you can proceed with the remaining steps to solve the equation.
Given equation: 4(3x - 2) = -24
1. Distribute the 4 to each term inside the parentheses:
4 * 3x = 12x
4 * -2 = -8
The equation becomes: 12x - 8 = -24
Now you can proceed with the remaining steps to solve the equation.
How would i isolate the variable and solve for x
To isolate the variable and solve for x, you can follow these steps:
Given equation: 12x - 8 = -24
1. Start by getting rid of the constant term (-8) on the left side of the equation. You can do this by adding 8 to both sides:
12x - 8 + 8 = -24 + 8
This simplifies to: 12x = -16
2. Next, to solve for x, divide both sides of the equation by the coefficient of x, which is 12:
12x / 12 = -16 / 12
Simplifying further gives: x = -16/12
3. Finally, simplify the fraction -16/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
x = (-16 ÷ 4) / (12 ÷ 4)
x = -4/3
Therefore, the solution to the equation is x = -4/3.
Given equation: 12x - 8 = -24
1. Start by getting rid of the constant term (-8) on the left side of the equation. You can do this by adding 8 to both sides:
12x - 8 + 8 = -24 + 8
This simplifies to: 12x = -16
2. Next, to solve for x, divide both sides of the equation by the coefficient of x, which is 12:
12x / 12 = -16 / 12
Simplifying further gives: x = -16/12
3. Finally, simplify the fraction -16/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
x = (-16 ÷ 4) / (12 ÷ 4)
x = -4/3
Therefore, the solution to the equation is x = -4/3.
is there another way to this?
Yes, there is another way to solve the equation. Instead of expanding and distributing 4 to the terms inside the parentheses, you can divide both sides of the equation by 4 right from the start:
Given equation: 4(3x - 2) = -24
Divide both sides of the equation by 4:
(4(3x - 2)) / 4 = -24 / 4
Simplifying gives:
3x - 2 = -6
Next, to isolate the variable x, add 2 to both sides of the equation:
3x - 2 + 2 = -6 + 2
Simplifying further yields:
3x = -4
Finally, divide both sides of the equation by 3 to solve for x:
(3x) / 3 = (-4) / 3
This simplifies to:
x = -4/3
So, both methods lead to the same solution: x = -4/3.
Given equation: 4(3x - 2) = -24
Divide both sides of the equation by 4:
(4(3x - 2)) / 4 = -24 / 4
Simplifying gives:
3x - 2 = -6
Next, to isolate the variable x, add 2 to both sides of the equation:
3x - 2 + 2 = -6 + 2
Simplifying further yields:
3x = -4
Finally, divide both sides of the equation by 3 to solve for x:
(3x) / 3 = (-4) / 3
This simplifies to:
x = -4/3
So, both methods lead to the same solution: x = -4/3.
show this but a little different
Certainly! Here's an alternative approach to solving the equation:
Given equation: 4(3x - 2) = -24
1. Divide both sides of the equation by 4 to eliminate the coefficient in front of the parentheses:
(4(3x - 2)) / 4 = -24 / 4
Simplifying gives:
3x - 2 = -6
2. To isolate the variable x, add 2 to both sides of the equation:
3x - 2 + 2 = -6 + 2
Simplifying further yields:
3x = -4
3. Finally, divide both sides of the equation by 3 to solve for x:
(3x) / 3 = (-4) / 3
This simplifies to:
x = -4/3
So, using this alternate approach, we also get the same solution: x = -4/3.
Given equation: 4(3x - 2) = -24
1. Divide both sides of the equation by 4 to eliminate the coefficient in front of the parentheses:
(4(3x - 2)) / 4 = -24 / 4
Simplifying gives:
3x - 2 = -6
2. To isolate the variable x, add 2 to both sides of the equation:
3x - 2 + 2 = -6 + 2
Simplifying further yields:
3x = -4
3. Finally, divide both sides of the equation by 3 to solve for x:
(3x) / 3 = (-4) / 3
This simplifies to:
x = -4/3
So, using this alternate approach, we also get the same solution: x = -4/3.
1 answer