planetpsycho3 planetpsycho3
  • 05-02-2021
  • Mathematics
contestada

What is the solution to this equation?
1/2x-7=1/3(x-12)
x=

Respuesta :

LanceLongFei
LanceLongFei LanceLongFei
  • 05-02-2021

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

By rearranging and multiplying by 6 at the end:

[tex]\frac{1}{2}x - 7 = \frac{1}{3}(x-12)\\\frac{1}{2}-7 = \frac{1}{3}x - 4\\\frac{1}{2}x - \frac{1}{3}x = -4 + 7\\(\frac{3}{6} - \frac{2}{6})x = 3\\\frac{1}{6}x = 3\\x = 3 \cdot 6 = 18[/tex]

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