Given F

_{1} = 10, F2

_{1} = 20, Distance from F

_{1} to fulcrum (x) = 5, calculate Lever Length (d)

__The Lever Equation is as follows:__F

_{1}x = F

_{2}(d - x)

__Multiply the right side of the equation out:__F

_{1}x = F

_{2}d - F

_{2}x

__Add F___{2}x to both sides:F

_{1}x + F

_{2}x = F

_{2}d - F

_{2}x + F

_{2}x

__Cancelling F___{2}x on the right side, we get:F

_{1}x + F

_{2}x = F

_{2}d

__Factor out x:__x(F

_{1} + F

_{2}) = F

_{2}d

__Divide each side of the equation by F___{2}:__Cancelling F___{2} on the right side, we get:d = | x(F_{1} + F_{2}) |

| F_{2} |

__Plug in our numbers and simplify:__Lever Length (d) =

**7.5**

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