Question

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

Answer 1

whats the anwser

Answer 2

what x =

Answer 3

To solve the equation \( \frac{8}{9}(x + \frac{1}{2}) = \frac{32}{3} \), follow these steps:

1. **Multiply both sides by \( \frac{9}{8} \)** to eliminate the fraction on the left side:
\[
x + \frac{1}{2} = \frac{32}{3} \cdot \frac{9}{8}
\]

2. **Calculate \( \frac{32 \cdot 9}{3 \cdot 8} \)**:
- Divide \( 32 \) by \( 8 \) to get \( 4 \):
\[
\frac{32}{8} = 4
\]
- Now multiply \( 4 \) by \( 9 \):
\[
4 \cdot 9 = 36
\]
Thus,
\[
x + \frac{1}{2} = 36
\]

3. **Subtract \( \frac{1}{2} \) from both sides**:
\[
x = 36 - \frac{1}{2}
\]
- Convert \( 36 \) into a fraction:
\[
36 = \frac{72}{2}
\]
- Now perform the subtraction:
\[
x = \frac{72}{2} - \frac{1}{2} = \frac{72 - 1}{2} = \frac{71}{2}
\]

Therefore, the solution to the equation is:
\[
x = \frac{71}{2}
\]

Answer 4

The solution to the equation \( \frac{8}{9}(x + \frac{1}{2}) = \frac{32}{3} \) when solving for \( x \) is:

\[
x = \frac{71}{2}
\]

If you need it in decimal form, that would be \( 35.5 \).

Answer 5

The value of \( x \) from the equation \( \frac{8}{9}(x + \frac{1}{2}) = \frac{32}{3} \) is:

\[
x = \frac{71}{2}
\]

This can also be expressed as:

\[
x = 35.5
\]

So, if you need the answer in fraction form, it is \( \frac{71}{2} \), and in decimal form, it is \( 35.5 \).