Respuesta :

Answer:

[tex] \frac{9}{72} = \frac{3x - 20}{56} \\ \frac{1}{8} \: \: \: = \frac{3x - 20}{56} \\ \frac{1 \times 56}{8} + 20 \: \: = 3x \\ 7 + 20 = 3x \\ 3x = 27 \\ = > x = 9 \\ = = = = = = = = [/tex]

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Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Step 1:  Make an expression

[tex]\frac{9}{3x-20} =\frac{72}{56}[/tex]

Step 2:  Cross multiply

[tex]\frac{9}{3x-20} =\frac{72}{56}[/tex]

[tex]9(56) = 72(3x-20)[/tex]

Step 3:  Distribute

[tex]9(56) = 72(3x-20)[/tex]

[tex]504 = (72 * 3x) + (72 * -20)[/tex]

[tex]504 = 216x - 1440[/tex]

Step 4:  Add 1440 to both sides

[tex]504 + 1440 = 216x - 1440 + 1440[/tex]

[tex]1944 = 216x[/tex]

Step 5:  Divide both sides by 216

[tex]1944 / 216 = 216x / 216[/tex]

[tex]9 = x[/tex]

Answer:  [tex]x = 9[/tex]