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Simplifying b(x + a) + 8 = a(x + b) Reorder the terms: b(a + x) + 8 = a(x + b) (a * b + x * b) + 8 = a(x + b) (ab + bx) + 8 = a(x + b) Reorder the terms: 8 + ab + bx = a(x + b) Reorder the terms: 8 + ab + bx = a(b + x) 8 + ab + bx = (b * a + x * a) 8 + ab + bx = (ab + ax) Add '-1ab' to each side of the equation. 8 + ab + -1ab + bx = ab + -1ab + ax Combine like terms: ab + -1ab = 0 8 + 0 + bx = ab + -1ab + ax 8 + bx = ab + -1ab + ax Combine like terms: ab + -1ab = 0 8 + bx = 0 + ax 8 + bx = ax Solving 8 + bx = ax Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + bx = -8 + ax Combine like terms: 8 + -8 = 0 0 + bx = -8 + ax bx = -8 + ax Divide each side by 'x'. b = -8x-1 + a Simplifying b = -8x-1 + a Reorder the terms: b = a + -8x-1
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