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anonymous

  • one year ago

(3x+1)=(2x+2) it's asking for work, but I don't know how. Please help

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  1. anonymous
    • one year ago
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    (3x+1)=(2x+2) 3x= 2x+1 x=1

  2. mathstudent55
    • one year ago
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    I assume you need to solve the equation for x. First step is to drop the parentheses. They are not needed. 3x + 1 = 2x + 2

  3. anonymous
    • one year ago
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    Thanks, but how do I get to it?

  4. anonymous
    • one year ago
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    Alright

  5. mathstudent55
    • one year ago
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    Now you want all terms with x on the left side, so we subtract 2x from both sides.

  6. anonymous
    • one year ago
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    Alright 3x+1=2x+2 1X+1=x+2

  7. mathstudent55
    • one year ago
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    3x + 1 = 2x + 2 -2x -2x ---------------- x + 1 = 2 Now we have x + 1 = 2 We want x alone on the left side, so we subtract 1 from both sides: x + 1 = 2 - 1 -1 ------------ x = 1 The answer is x = 1

  8. anonymous
    • one year ago
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    THANK YOU SO MUCH

  9. mathstudent55
    • one year ago
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    No, your last response is not correct. When you subtract 2x from both sides, there is no x left on the right side. 3x + 1 = 2x+2 -2x -2x ------------------- x + 1 = 2

  10. anonymous
    • one year ago
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    Wait, what type of equation is this?

  11. anonymous
    • one year ago
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    Thank you for that little explanation. I haven't got into this type of math in a while and I don't remember some of the basics @mathstudent55

  12. mathstudent55
    • one year ago
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    Now that we have x = 1, we can check to see if the solution is correct. Take the original equation, (3x + 1) = (2x + 2), and replace x with our solution, 1. 3(1) + 1 = 2(1) + 2 3 + 1 = 2 + 2 4 = 4 Since 4 = 4 is a true statement, that means our solution, x = 1, is the correct solution.

  13. mathstudent55
    • one year ago
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    You're welcome.

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