Multiple choice

Solve the equation $-2x+6=4x-2$

  1. no solutions
  2. $0$
  3. $3$
  4. $\dfrac {1}{2}$
  5. $\dfrac {4}{3}$
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E Correct answer
Explanation

-2x + 6 = 4x - 2. Add 2x to both sides: 6 = 6x - 2. Add 2 to both sides: 8 = 6x. Divide by 6: x = 8/6 = 4/3.

AI explanation

To solve the linear equation -2x + 6 = 4x - 2, first subtract 4x from both sides to get -6x + 6 = -2. Then, subtract 6 from both sides to yield -6x = -8. Dividing both sides by -6 gives x = 4/3.

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