zjquin24 zjquin24
  • 08-09-2020
  • Mathematics
contestada

What is the value of x in the equation 7(4x+1)−3x=5x−13?

Respuesta :

Estellia
Estellia Estellia
  • 08-09-2020

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]7(4x+1)-3x=5x-13[/tex]

Expand:

[tex]28x+7-3x=5x-13[/tex]

Simplify:

[tex]25x+7=5x-13[/tex]

Subtract 7 from both sides:

[tex]25x+7-7=5x-13-7[/tex]

[tex]25x=5x-20[/tex]

Subtract 5x from both sides:

[tex]25x-5x=5x-20-5x[/tex]

[tex]20x=-20\\[/tex]

Divide both sides by 20:

[tex]\frac{20x}{20}=\frac{-20}{20}[/tex]

[tex]x=-1[/tex]

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