Respuesta :

wegnerkolmp2741o

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

[tex] \small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\ [/tex]

distribute 1/5 through the parantheses

[tex] \small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\ [/tex]

multiply both side of equation by 5

[tex] \small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\ [/tex]

  • 2x + 92 = 25x

Move all variables to the left hand side and change their sign

  • 2x + 92 - 25x = 0

combine like terms

  • 2x - 25x + 92 = 0

calculate

  • -23x + 92 = 0

Move all the constant to the right side and change their sign

  • -23 x = - 92

divide both side by -23x

  • -23x / -23 = -92/-23
  • x = 4

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