bot i need you What is the solution of the equation 8/9(x+12)=32/3 when solving for x ?(1 point) x =

11 answers

To find the solution for the equation 8/9(x+12) = 32/3, you can start by simplifying both sides of the equation.

First, we can simplify the left side by distributing the 8/9 to both terms within the parentheses:
8/9(x+12) = (8/9)(x) + (8/9)(12)
8/9(x+12) = 8x/9 + 96/9

Next, we can simplify the right side by simplifying the fraction 32/3:
32/3 = (32/3)*(9/9)
32/3 = 288/9

Now, the equation becomes:
8x/9 + 96/9 = 288/9

Combining like terms on the left side:
(8x + 96)/9 = 288/9

Now, we can cross multiply to solve for x:
9(8x + 96) = 288(9)
72x + 864 = 2592

Subtracting 864 from both sides of the equation:
72x = 1728

Dividing both sides by 72:
x = 1728/72

Simplifying the right side:
x = 24

Therefore, the solution to the equation 8/9(x+12) = 32/3 is x = 24.
What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?(1 point) x =
To find the solution for the equation 8/9(x+1/2) = 32/3, you can follow these steps:

First, we can simplify the left side by distributing the 8/9 to both terms within the parentheses:
8/9(x+1/2) = (8/9)(x) + (8/9)(1/2)
8/9(x+1/2) = 8x/9 + 8/18

Next, we can simplify the right side by simplifying the fraction 32/3:
32/3 = (32/3)*(9/9)
32/3 = 288/9

Now, the equation becomes:
8x/9 + 8/18 = 288/9

Since 8/18 can be simplified further, we can express it as 4/9:
8x/9 + 4/9 = 288/9

Now, we can combine like terms on the left side:
(8x + 4)/9 = 288/9

Now, we can cross multiply to solve for x:
9(8x + 4) = 288(9)
72x + 36 = 2592

Subtracting 36 from both sides of the equation:
72x = 2556

Dividing both sides by 72:
x = 2556/72

Simplifying the right side:
x = 35.5

Therefore, the solution to the equation 8/9(x+1/2) = 32/3 is x = 35.5.
What is the solution of the equation 8/9(x+12)=32/3 when solving for x ?(1 point) x
To find the solution for the equation 8/9(x+12) = 32/3, you can follow these steps:

First, we can simplify the left side by distributing the 8/9 to both terms within the parentheses:
8/9(x+12) = (8/9)(x) + (8/9)(12)
8/9(x+12) = 8x/9 + 96/9

Next, we can simplify the right side by simplifying the fraction 32/3:
32/3 = (32/3)*(9/9)
32/3 = 288/9

Now, the equation becomes:
8x/9 + 96/9 = 288/9

Combining like terms on the left side:
(8x + 96)/9 = 288/9

Now, we can set the numerators equal to each other:
8x + 96 = 288

Subtracting 96 from both sides of the equation:
8x = 192

Dividing both sides by 8:
x = 24

Therefore, the solution to the equation 8/9(x+12) = 32/3 is x = 24.
bot thats not the answer
I apologize for the confusion. Let's solve the equation again:

To find the solution for the equation 8/9(x + 12) = 32/3, you can follow these steps:

First, we simplify the left side by distributing the 8/9 to both terms within the parentheses:
(8/9)(x) + (8/9)(12) = 32/3

This simplifies to:
(8x/9) + 96/9 = 32/3

Next, we can simplify the right side by expressing 32/3 as an equivalent fraction with the same denominator of 9:
(8x/9) + 96/9 = 96/9

Now, the equation becomes:
(8x/9) + 96/9 = 96/9

To solve for x, we can subtract 96/9 from both sides of the equation:
(8x/9) + 96/9 - 96/9 = 96/9 - 96/9

This simplifies to:
(8x/9) = 0/9

Since any number divided by 0 is undefined, we cannot solve for x in this equation. Therefore, there is no solution for the equation 8/9(x + 12) = 32/3.
nope
I apologize for the mistake. Let's solve the equation correctly this time:

To find the solution for the equation 8/9(x + 12) = 32/3, you can follow these steps:

Step 1: Distribute the 8/9 to both terms within the parentheses:
(8/9)(x) + (8/9)(12) = 32/3

This simplifies to:
8x/9 + 96/9 = 32/3

Step 2: We can simplify the right side by expressing 32/3 as an equivalent fraction with the same denominator of 9:
8x/9 + 96/9 = (32/3)(3/3)

This simplifies to:
8x/9 + 96/9 = 96/9

Step 3: Combine the numerators on the left side of the equation:
(8x + 96)/9 = 96/9

Step 4: We can set the numerators equal to each other:
8x + 96 = 96

Step 5: Subtract 96 from both sides of the equation:
8x = 0

Step 6: Divide both sides by 8:
x = 0

Therefore, the solution to the equation 8/9(x + 12) = 32/3 is x = 0.
no bot
I apologize for the misunderstanding. Let's solve the equation correctly:

To find the solution for the equation 8/9(x + 12) = 32/3, let's start by simplifying both sides:

First, we simplify the left side by distributing the 8/9 to both terms within the parentheses:
8/9 * x + 8/9 * 12 = 32/3

This simplifies to:
8/9x + 96/9 = 32/3

Next, we simplify the fractions on the right side:
8/9x + 96/9 = 32/3

Now, we can simplify the fractions further:
8/9x + 10⅔ = 10⅔

Since the denominators are the same, we can eliminate them and rewrite the equation as:
8x + 96 = 96

Next, we can isolate the variable by subtracting 96 from both sides of the equation:
8x + 96 - 96 = 96 - 96

This simplifies to:
8x = 0

Finally, we can solve for x by dividing both sides of the equation by 8:
8x/8 = 0/8

This simplifies to:
x = 0

Therefore, the solution to the equation 8/9(x + 12) = 32/3 is x = 0.