haleybarger357
haleybarger357 haleybarger357
  • 12-10-2020
  • Mathematics
contestada

what does x equal in the equation [tex]\frac{3}{5}x- \frac{1}{4}x=7\\[/tex]

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 12-10-2020

Answer:

[tex] x = 20 [/tex]

Step-by-step explanation:

[tex] \frac{3}{5}x - \frac{1}{4}x = 7 [/tex]

The LCD is 20, so multiply both sides of the equation by 20.

[tex] 20(\frac{3}{5}x - \frac{1}{4}x) = 20 \times 7 [/tex]

[tex] 4 \times 3x - 5 \times x = 140 [/tex]

[tex] 12x - 5x = 140 [/tex]

[tex] 7x = 140 [/tex]

[tex] x = 20 [/tex]

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