ax - mn = mn + bx for x

Discussion in 'Calculator Requests' started by math_celebrity, Dec 15, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    ax - mn = mn + bx for x

    Add mn to each side:
    ax - mn + mn = mn + bx + mn

    Cancel the mn terms on the left side and we get:
    ax = bx + 2mn

    Subtract bx from each side:
    ax - bx = bx - bx + 2mn

    Cancel the bx terms on the right side:
    ax - bx = 2mn

    Factor out x on the left side:
    x (a - b) = 2mn

    Divide each side of the equation by (a - b):
    x (a - b)/(a - b) = 2mn/(a - b)

    Cancel the (a - b) on the left side and we get:
    x = 2mn/(a - b)
     

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