crowshum crowshum
  • 03-12-2021
  • Mathematics
contestada

3/4 (x - 3) - 5 = 1/8 ( x - 1 )

Respuesta :

jimrgrant1 jimrgrant1
  • 03-12-2021

Answer:

x = - [tex]\frac{57}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] (x - 3) - 5 = [tex]\frac{1}{8}[/tex] (x - 1)

Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

6x - 58 = x - 1 ( subtract x from both sides )

5x - 58 = - 1 ( add 58 to both sides )

5x = - 57 ( divide both sides by 5 )

x = - [tex]\frac{57}{5}[/tex]

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