Is this algebra problem correct?

Solve for x: 3(2x + 1) - 4x = 4 - 3(x - 3)

*answer x=12/5

Update:

ok I see where I messed up I did not multiply the 3 instead I put a 1. let me see if I get the same thing now.,

Update 3:

ok I got it thanks so much for ya'lls help I did not distribute the 3 correctly so now I have it thanks again!

Comments

  • 3(2x + 1) - 4x = 4 - 3(x - 3)

    6x + 3 - 4x = 4 - 3x + 9

    2x + 3 = -3x + 13

    5x = 10

    x = 2

  • Given:

    3(2x + 1) − 4x = 4 − 3(x − 3)

    Distribute:

    6x + 3 − 4x = 4 − 3x + 9

    Simplify:

    2x + 3 = 13 − 3x

    Add 3x to both sides:

    5x + 3 = 13

    Subtract 3 from both sides:

    5x = 10

    Divide by 5:

    x = 2

    Check

    3(2x + 1) − 4x = 4 − 3(x − 3)

    3(2(2) + 1) − 4(2) = 4 − 3((2) − 3)

    3(5) − 8 = 4 + 3

    15 − 8 = 7

    7 = 7

    This is true, thus we have the correct answer.

  • I get x = 2

    checking my result

    2x + 3 = 4 - 3x + 9

    3 = 4 - 5x + 9

    3 = 13 - 5x

    5x = 10

    x = 2

    substituting x = 2 into original

    3(4 + 1) - 8 = 4 - 3(2 - 3)

    7 = 4 - 6 + 9

    13 - 6 = 7

    check, double check, Q.E.D.

  • x=2

    get rid of () first: 3*2x+1*3-4x=4-3*x-3*3

    6x+3-4x=4-3x+9

    2x+3=13-3x

    5x+3=13

    5x=10

    x=2

    then check your answer:

    3(2*2+1)-4*2=4-3(2-3)

    3*5-8=4*3

    7=7

  • I havent done algebra in a while but i believe jesse is right good luck

  • Good you've seen it, the answer is 2!

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