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Simplifying x(a + -1bd) = b(e + -1c) (a * x + -1bd * x) = b(e + -1c) (ax + -1bdx) = b(e + -1c) Reorder the terms: ax + -1bdx = b(-1c + e) ax + -1bdx = (-1c * b + e * b) ax + -1bdx = (-1bc + be) Solving ax + -1bdx = -1bc + be Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bdx' to each side of the equation. ax + -1bdx + bdx = -1bc + bdx + be Combine like terms: -1bdx + bdx = 0 ax + 0 = -1bc + bdx + be ax = -1bc + bdx + be Divide each side by 'x'. a = -1bcx-1 + bd + bex-1 Simplifying a = -1bcx-1 + bd + bex-1
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