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Simplifying (3x + -4b) + (7b + 2x) = 13b Reorder the terms: (-4b + 3x) + (7b + 2x) = 13b Remove parenthesis around (-4b + 3x) -4b + 3x + (7b + 2x) = 13b Remove parenthesis around (7b + 2x) -4b + 3x + 7b + 2x = 13b Reorder the terms: -4b + 7b + 3x + 2x = 13b Combine like terms: -4b + 7b = 3b 3b + 3x + 2x = 13b Combine like terms: 3x + 2x = 5x 3b + 5x = 13b Solving 3b + 5x = 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. 3b + -13b + 5x = 13b + -13b Combine like terms: 3b + -13b = -10b -10b + 5x = 13b + -13b Combine like terms: 13b + -13b = 0 -10b + 5x = 0 Add '-5x' to each side of the equation. -10b + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 -10b + 0 = 0 + -5x -10b = 0 + -5x Remove the zero: -10b = -5x Divide each side by '-10'. b = 0.5x Simplifying b = 0.5x
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