3(7s+2)-17x=2(2s+1)-6

Solution for 3(7s+2)-17x=2(2s+1)-6 equation:

Simplifying
3(7s + 2) + -17x = 2(2s + 1) + -6

Reorder the terms:
3(2 + 7s) + -17x = 2(2s + 1) + -6
(2 * 3 + 7s * 3) + -17x = 2(2s + 1) + -6
(6 + 21s) + -17x = 2(2s + 1) + -6

Reorder the terms:
6 + 21s + -17x = 2(1 + 2s) + -6
6 + 21s + -17x = (1 * 2 + 2s * 2) + -6
6 + 21s + -17x = (2 + 4s) + -6

Reorder the terms:
6 + 21s + -17x = 2 + -6 + 4s

Combine like terms: 2 + -6 = -4
6 + 21s + -17x = -4 + 4s

Solving
6 + 21s + -17x = -4 + 4s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-4s' to each side of the equation.
6 + 21s + -4s + -17x = -4 + 4s + -4s

Combine like terms: 21s + -4s = 17s
6 + 17s + -17x = -4 + 4s + -4s

Combine like terms: 4s + -4s = 0
6 + 17s + -17x = -4 + 0
6 + 17s + -17x = -4

Add '-6' to each side of the equation.
6 + 17s + -6 + -17x = -4 + -6

Reorder the terms:
6 + -6 + 17s + -17x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 17s + -17x = -4 + -6
17s + -17x = -4 + -6

Combine like terms: -4 + -6 = -10
17s + -17x = -10

Add '17x' to each side of the equation.
17s + -17x + 17x = -10 + 17x

Combine like terms: -17x + 17x = 0
17s + 0 = -10 + 17x
17s = -10 + 17x

Divide each side by '17'.
s = -0.5882352941 + x

Simplifying
s = -0.5882352941 + x