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Solve for x

: 4x/9=18
(1 point)
Responses

18
18

4.5
4.5

8
8

40.5

1 answer

To solve the equation \( \frac{4x}{9} = 18 \), you can follow these steps:

  1. Multiply both sides by 9 to eliminate the fraction:

    \[ 4x = 18 \times 9 \]

  2. Calculate \( 18 \times 9 \):

    \[ 18 \times 9 = 162 \]

    So the equation becomes:

    \[ 4x = 162 \]

  3. Now, divide both sides by 4 to solve for \( x \):

    \[ x = \frac{162}{4} \]

  4. Simplify \( \frac{162}{4} \):

    \[ x = 40.5 \]

Thus, the solution is \( x = 40.5 \).

The correct response is 40.5.