How do you solve the equation 2x – 20 divided by 3 equals 2x?

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To solve the equation 2x – 20 = 3(2x), we will follow these steps:

  1. Distribute: Begin by distributing the 3 on the right side of the equation.

This gives us:

2x - 20 = 6x
  1. Rearrange the equation: To isolate the variable terms on one side, we need to subtract 2x from both sides.

This results in:

-20 = 6x - 2x

Which simplifies to:

-20 = 4x

  1. Isolate x: Now we can get x by dividing both sides by 4.

This yields:

x = -5

Conclusion: The solution to the equation 2x – 20 = 3(2x) is x = -5.

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