3x + 2(4x - 5) = 13
Solution
Sure, let's solve the equation step by step:
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Distribute the 2 in the parentheses: 2 * 4x - 2 * 5 = 8x - 10. So, the equation becomes: 3x + 8x - 10 = 13.
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Combine like terms on the left side of the equation: 3x + 8x = 11x. So, the equation becomes: 11x - 10 = 13.
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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.
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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).
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