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Simplifying M(x + a) = p(x + b) Reorder the terms: M(a + x) = p(x + b) (a * M + x * M) = p(x + b) (aM + xM) = p(x + b) Reorder the terms: aM + xM = p(b + x) aM + xM = (b * p + x * p) aM + xM = (bp + px) Solving aM + xM = bp + px Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1xM' to each side of the equation. aM + xM + -1xM = bp + px + -1xM Combine like terms: xM + -1xM = 0 aM + 0 = bp + px + -1xM aM = bp + px + -1xM Divide each side by 'M'. a = bpM-1 + pxM-1 + -1x Simplifying a = bpM-1 + pxM-1 + -1x
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