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3x + 2(4x - 5) = 13

Question

3x + 2(4x - 5) = 13

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Solution

Sure, let's solve the equation step by step:

  1. Distribute the 2 in the parentheses: 2 * 4x - 2 * 5 = 8x - 10. So, the equation becomes: 3x + 8x - 10 = 13.

  2. Combine like terms on the left side of the equation: 3x + 8x = 11x. So, the equation becomes: 11x - 10 = 13.

  3. Add 10 to both sides of the equation to isolate the term with x on one side: 11x - 10 + 10 = 13 + 10. So, the equation becomes: 11x = 23.

  4. Divide both sides of the equation by 11 to solve for x: 11x / 11 = 23 / 11. So, the solution is: x = 23 / 11 = 2.09 (rounded to two decimal places).

This problem has been solved

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