Multiple choice

Solve the given equation and find the value of x. 5(x + 2) = 2(5x - (-3))

  1. 0.8

  2. 1.2

  3. 2.3

  4. 3.6

  5. 4.1
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A Correct answer
Explanation

Expand the equation: 5x + 10 = 2(5x + 3), which simplifies to 5x + 10 = 10x + 6. Rearranging gives 10 - 6 = 10x - 5x, so 4 = 5x. Thus, x = 4/5 = 0.8.

AI explanation

First, simplify the right side of the equation 5(x + 2) = 2(5x - (-3)) to get 2(5x + 3), which becomes 10x + 6. Expanding the left side gives 5x + 10, making the equation 5x + 10 = 10x + 6. Grouping the variable terms on one side and constants on the other yields 10 - 6 = 10x - 5x, which simplifies to 4 = 5x. Dividing both sides by 5 gives the final answer x = 0.8.

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