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Simplifying x(a + b) = b(c + -1x) (a * x + b * x) = b(c + -1x) (ax + bx) = b(c + -1x) ax + bx = (c * b + -1x * b) ax + bx = (bc + -1bx) Solving ax + bx = bc + -1bx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. ax + bx + -1bx = bc + -1bx + -1bx Combine like terms: bx + -1bx = 0 ax + 0 = bc + -1bx + -1bx ax = bc + -1bx + -1bx Combine like terms: -1bx + -1bx = -2bx ax = bc + -2bx Divide each side by 'x'. a = bcx-1 + -2b Simplifying a = bcx-1 + -2b Reorder the terms: a = -2b + bcx-1
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