Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.

Respuesta :

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

  • x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

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