3(5x+1)=17x-1

Solution for 3(5x+1)=17x-1 equation:

Simplifying
3(5x + 1) = 17x + -1

Reorder the terms:
3(1 + 5x) = 17x + -1
(1 * 3 + 5x * 3) = 17x + -1
(3 + 15x) = 17x + -1

Reorder the terms:
3 + 15x = -1 + 17x

Solving
3 + 15x = -1 + 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.
3 + 15x + -17x = -1 + 17x + -17x

Combine like terms: 15x + -17x = -2x
3 + -2x = -1 + 17x + -17x

Combine like terms: 17x + -17x = 0
3 + -2x = -1 + 0
3 + -2x = -1

Add '-3' to each side of the equation.
3 + -3 + -2x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -1 + -3
-2x = -1 + -3

Combine like terms: -1 + -3 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2