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Steps to solving a linear equation

9/10/2020

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Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options.

A.)  After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2.
B.)  After adding 4 to both sides, the equation is Negative two-thirds x equals negative 10.
C.)  The equation can be solved for using exactly one more step by multiplying both sides by Negative
three-halves.

D.)  The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds.
E.)  The equation can be solved for x using exactly one more step by multiplying both sides by Negative two-thirds.

-4 - (2/3)x = -6
+4                 +4
(-2/3)x = -2   {added 4 to each side}
x = 3   {divided each side by -2/3, which is the same as multiplying by -3/2}

A, C, and D

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