Is this solution, infinitely many solutions, one solution, or no solution?

7 (42x-8) = 17 (49 + x)

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