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Simplifying 5(x + b) = -3(x + -1b) Reorder the terms: 5(b + x) = -3(x + -1b) (b * 5 + x * 5) = -3(x + -1b) (5b + 5x) = -3(x + -1b) Reorder the terms: 5b + 5x = -3(-1b + x) 5b + 5x = (-1b * -3 + x * -3) 5b + 5x = (3b + -3x) Solving 5b + 5x = 3b + -3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 5b + -3b + 5x = 3b + -3b + -3x Combine like terms: 5b + -3b = 2b 2b + 5x = 3b + -3b + -3x Combine like terms: 3b + -3b = 0 2b + 5x = 0 + -3x 2b + 5x = -3x Add '-5x' to each side of the equation. 2b + 5x + -5x = -3x + -5x Combine like terms: 5x + -5x = 0 2b + 0 = -3x + -5x 2b = -3x + -5x Combine like terms: -3x + -5x = -8x 2b = -8x Divide each side by '2'. b = -4x Simplifying b = -4x
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