Q:

Is this solution, infinitely many solutions, one solution, or no solution?7(42x-8) = 17(49 + x)

Accepted Solution

A:
Simplifying7(42x + -8) = 17(49 + x)Reorder the terms:7(-8 + 42x) = 17(49 + x)(-8 * 7 + 42x * 7) = 17(49 + x)(-56 + 294x) = 17(49 + x)-56 + 294x = (49 * 17 + x * 17)-56 + 294x = (833 + 17x)Solving-56 + 294x = 833 + 17xSolving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '-17x' to each side of the equation.-56 + 294x + -17x = 833 + 17x + -17xCombine like terms: 294x + -17x = 277x-56 + 277x = 833 + 17x + -17xCombine like terms: 17x + -17x = 0-56 + 277x = 833 + 0-56 + 277x = 833Add '56' to each side of the equation.-56 + 56 + 277x = 833 + 56Combine like terms: -56 + 56 = 00 + 277x = 833 + 56277x = 833 + 56Combine like terms: 833 + 56 = 889277x = 889Divide each side by '277'.x = 3.209386282Simplifyingx = 3.209386282