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3/4(2x-3) = 2/3 x+5 with detailed explanation

Sagot :

alexanderorangeguy

Answer:

x = 11

Step-by-step explanation:

3/(3(2x-3)) = 2/(3x+5)

3(2x-3) = 6x - 9

3/(6x-9) = 2/(3x+5)

3(3x+5) = 2(6x-9)

9x + 15 = 12x - 18

12x - 9x = 15 + 18

3x = 33

x = 11

fieryanswererft

Answer:

[tex]\mathrm x= \dfrac{87}{10} \quad or \quad 8.7[/tex]

Explanation:

[tex]\longrightarrow \sf \dfrac{3}{4} (2x-3)=\:\dfrac{2}{3}\:x+5[/tex]

  • Distribute inside parenthesis

[tex]\longrightarrow \sf \dfrac{3}{2} x-\dfrac{9}{4} =\:\dfrac{2}{3}\:x+5[/tex]

  • Group the variables

[tex]\longrightarrow \sf \dfrac{3}{2} x-\dfrac{2}{3}x=5+\dfrac{9}{4}[/tex]

  • Add or Subtract

[tex]\longrightarrow \sf \dfrac{5}{6} x=\dfrac{29}{4}[/tex]

  • Cross Multiply

[tex]\longrightarrow \sf x=\dfrac{29(6)}{4(5)}[/tex]

  • Simplify the following

[tex]\longrightarrow \sf x=\dfrac{87}{10} \quad or \quad 8.7[/tex]

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