Mathematics

Question

solve the equation algebraicly for the exact vaule of x CHECK YOUR WORK : THE equation IS 6 - 2/4 (x + 5) = 4x

1 Answer

  • Answer:

    x = 7/9

    Step-by-step explanation:

    Solve for x:

    (-x - 5)/2 + 6 = 4 x

    Put each term in (-x - 5)/2 + 6 over the common denominator 2: (-x - 5)/2 + 6 = 12/2 + (-x - 5)/2:

    12/2 + (-x - 5)/2 = 4 x

    12/2 + (-x - 5)/2 = ((-x - 5) + 12)/2:

    (-x - 5 + 12)/2 = 4 x

    Grouping like terms, -x - 5 + 12 = (12 - 5) - x:

    ((12 - 5) - x)/2 = 4 x

    12 - 5 = 7:

    (7 - x)/2 = 4 x

    Multiply both sides by 2:

    (2 (7 - x))/2 = 2×4 x

    (2 (7 - x))/2 = 2/2×(7 - x) = 7 - x:

    7 - x = 2×4 x

    2×4 = 8:

    7 - x = 8 x

    Subtract 8 x from both sides:

    7 + (-x - 8 x) = 8 x - 8 x

    -x - 8 x = -9 x:

    -9 x + 7 = 8 x - 8 x

    8 x - 8 x = 0:

    7 - 9 x = 0

    Subtract 7 from both sides:

    (7 - 7) - 9 x = -7

    7 - 7 = 0:

    -9 x = -7

    Divide both sides of -9 x = -7 by -9:

    (-9 x)/(-9) = (-7)/(-9)

    (-9)/(-9) = 1:

    x = (-7)/(-9)

    Multiply numerator and denominator of (-7)/(-9) by -1:

    Answer:  x = 7/9

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