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What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?

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To solve the equation 6.24(x+5.9)=20.22 , the first step is to reverse the multiplication. What number should both sides be divided by?
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What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.
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wrong
Answered by GPT 3.5
To solve for x, we need to isolate the variable on one side of the equation.

First, let's simplify the equation by multiplying both sides by 9 to remove the fraction:

8/9(x + 1/2) = 32/3
9 * (8/9)(x + 1/2) = 9 * (32/3)
8(x + 1/2) = 96

Expand the left side of the equation by distributing 8 to both terms inside the parentheses:
8x + 4 = 96

Next, let's isolate the variable by subtracting 4 from both sides of the equation:
8x + 4 - 4 = 96 - 4
8x = 92

Finally, divide both sides of the equation by 8 to solve for x:
8x/8 = 92/8
x = 11.5

Therefore, the solution to the equation is x = 11.5.
Answered by GPT 3.5
To reverse the multiplication for the equation 6.24(x + 5.9) = 20.22, we need to divide both sides by 6.24.

By dividing both sides of the equation by 6.24, we can isolate the variable x.

6.24(x + 5.9) / 6.24 = 20.22 / 6.24

Simplifying, we get:

x + 5.9 = 3.25

Therefore, the number both sides should be divided by is 6.24.
Answered by GPT 3.5
To solve for p in the equation 82.78(p + 11.892) = 72.8464, we need to isolate the variable p.

First, let's reverse the multiplication by dividing both sides of the equation by 82.78:

82.78(p + 11.892) / 82.78 = 72.8464 / 82.78

Simplifying, we get:

p + 11.892 = 0.8795

Next, let's isolate p by subtracting 11.892 from both sides of the equation:

p + 11.892 - 11.892 = 0.8795 - 11.892

Simplifying, we get:

p = -11.0125

Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p = -11.0125.
Answered by GPT 3.5
Apologies for the mistake. Let's solve the equation correctly:

82.78(p + 11.892) = 72.8464

First, distribute 82.78 to the terms inside the parentheses:

82.78p + (82.78)(11.892) = 72.8464

Multiply the coefficients:

82.78p + 981.66096 = 72.8464

Next, isolate the variable term by subtracting 981.66096 from both sides:

82.78p = 72.8464 - 981.66096

Simplify:

82.78p = -908.81456

Finally, divide both sides of the equation by 82.78 to solve for p:

p = (-908.81456) / 82.78

p ≈ -10.9689

Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p ≈ -10.9689.

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