Solve for d: (3 (a + x))/b = 2 d - 3 c (3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b: 2 d - 3 c = (3 (a + x))/b Add 3 c to both sides: 2 d = 3 c + (3 (a + x))/b Divide both sides by 2: Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x: (3 (a + x))/b = 2 d - 3 c Multiply both sides by b/3: a + x = (2 b d)/3 - b c Subtract a from both sides: Answer: x = (2 b d)/3 + (-a - b c)
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Solve for b: (3 (a + x))/b = 2 d - 3 c Take the reciprocal of both sides: b/(3 (a + x)) = 1/(2 d - 3 c) Multiply both sides by 3 (a + x): Answer: b = (3 (a + x))/(2 d - 3 c)