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

5 answers

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

whats the anwser

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 \( 35.5 \).

what x =

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 \( 35.5 \).