sosototo1896 sosototo1896
  • 11-09-2022
  • Mathematics
contestada

Find x for this equation
Show clear algebraic fraction

Find x for this equation Show clear algebraic fraction class=

Respuesta :

jimrgrant1 jimrgrant1
  • 11-09-2022

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5x-2}[/tex] = [tex]\frac{3}{6x+1}[/tex] ( cross- multiply )

3(5x - 2) = (2(6x + 1) ← distribute parenthesis on both sides )

15x - 6 = 12x + 2 ( subtract 12x from both sides )

3x - 6 = 2 ( add 6 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

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