This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Assuming the given expression is part of an equation set to zero, 2x - 4b + 7a + 5c = 0, we can solve for each variable in terms of the others. Step 1: Solve for x. Start with the equation: 2x - 4b + 7a + 5c = 0 Isolate the term with x by moving the other terms to the right side: 2x = 4b - 7a - 5c Divide both sides by 2: x = (4b - 7a - 5c)/(2) x = 2b - (7)/(2)a - (5)/(2)c Step 2: Solve for b. Start with the equation: 2x - 4b + 7a + 5c = 0 Isolate the term with b by moving the other terms to the right side: -4b = -2x - 7a - 5c Multiply both sides by -1 to make the b term positive: 4b = 2x + 7a + 5c Divide both sides by 4: b = (2x + 7a + 5c)/(4) b = (1)/(2)x + (7)/(4)a + (5)/(4)c Step 3: Solve for a. Start with the equation: 2x - 4b + 7a + 5c = 0 Isolate the term with a by moving the other terms to the right side: 7a = -2x + 4b - 5c Divide both sides by 7: a = (-2x + 4b - 5c)/(7) a = -(2)/(7)x + (4)/(7)b - (5)/(7)c Step 4: Solve for c. Start with the equation: 2x - 4b + 7a + 5c = 0 Isolate the term with c by moving the other terms to the right side: 5c = -2x + 4b - 7a Divide both sides by 5: c = (-2x + 4b - 7a)/(5) c = -(2)/(5)x + (4)/(5)b - (7)/(5)a The solutions are: x = 2b - (7)/(2)a - (5)/(2)c b = (1)/(2)x + (7)/(4)a + (5)/(4)c a = -(2)/(7)x + (4)/(7)b - (5)/(7)c c = -(2)/(5)x + (4)/(5)b - (7)/(5)a Last free one today — make it count tomorrow, or type /upgrade for unlimited.