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