Simplifying
7(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 + 17x
Solving 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 + -17x
Combine like terms: 294x + -17x = 277x
-56 + 277x = 833 + 17x + -17x
Combine like terms: 17x + -17x = 0
-56 + 277x = 833 + 0
-56 + 277x = 833
Add '56' to each side of the equation.
-56 + 56 + 277x = 833 + 56
Combine like terms: -56 + 56 = 0
0 + 277x = 833 + 56
277x = 833 + 56
Combine like terms: 833 + 56 = 889
277x = 889
Divide each side by '277'.
x = 3.209386282
Simplifying
x = 3.209386282
