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Imagine
Math
1
Pre-Quiz
Practice
Guided
Learning
Solving Equations with the Variable on Both Sides - Item 3461
Chelsea shows her work in finding the solution to 4x-5=2+3(x-3). After
checking her answer in the original equation, she found that it did not work. Where did
she make a mistake?
Post-Qu

Answer 1

Chelsea made a mistake when distributing the 3 to both terms inside the parentheses. The correct equation should be 4x - 5 = 2 + 3x - 9. The solution to the equation is x = -2.

Step-by-step explanation:

Chelsea made a mistake in the step where she distributed the 3 to both terms inside the parentheses. Instead of getting 4x - 5 = 2 + 3(x - 3), she should have gotten 4x - 5 = 2 + 3x - 9. By distributing the 3 correctly, the equation should be 4x - 5 = 2 + 3x - 9.

After collecting like terms and simplifying, the equation becomes x - 5 = -7. Solving for x, we add 5 to both sides and get x = -2. We can verify this solution by substituting x = -2 back into the original equation. If the equation holds true, then Chelsea's solution is correct.

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