To solve the equation:
8/9(x + 1/2) = 32/3
First, simplify the equation by distributing 8/9 to the terms inside the parentheses:
(8/9)x + (8/9)(1/2) = 32/3
(8/9)x + 4/9 = 32/3
Next, get rid of the fractions by multiplying both sides of the equation by the least common denominator (LCD), which is 9:
9[(8/9)x + 4/9] = 9(32/3)
Cancel out the denominators:
8x + 4 = 96/3
Simplify the right side of the equation:
8x + 4 = 32
Now, isolate x by subtracting 4 from both sides:
8x + 4 - 4 = 32 - 4
8x = 28
Finally, divide both sides by 8 to solve for x:
8x/8 = 28/8
x = 7/2
Therefore, the solution to the equation 8/9(x + 1/2) = 32/3 is x = 7/2.
What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?
3 answers
wrong
Apologies for the incorrect response. Let's solve the equation correctly:
Starting with the equation: (8/9)(x + 1/2) = 32/3
First, multiply both sides of the equation by the reciprocal of 8/9, which is 9/8. This will cancel out the coefficient of x:
(9/8) * (8/9)(x + 1/2) = (9/8) * (32/3)
Simplifying this expression, we get:
x + 1/2 = 36/3
Now, simplify the right side of the equation:
x + 1/2 = 12
Next, subtract 1/2 from both sides to isolate x:
x + 1/2 - 1/2 = 12 - 1/2
This simplifies to:
x = 11 1/2 or 11.5
Therefore, the solution of the equation (8/9)(x + 1/2) = 32/3 is x = 11 1/2 or 11.5.
Starting with the equation: (8/9)(x + 1/2) = 32/3
First, multiply both sides of the equation by the reciprocal of 8/9, which is 9/8. This will cancel out the coefficient of x:
(9/8) * (8/9)(x + 1/2) = (9/8) * (32/3)
Simplifying this expression, we get:
x + 1/2 = 36/3
Now, simplify the right side of the equation:
x + 1/2 = 12
Next, subtract 1/2 from both sides to isolate x:
x + 1/2 - 1/2 = 12 - 1/2
This simplifies to:
x = 11 1/2 or 11.5
Therefore, the solution of the equation (8/9)(x + 1/2) = 32/3 is x = 11 1/2 or 11.5.