6(-3x+1)=-17(x+1)

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

Simplifying
6(-3x + 1) = -17(x + 1)

Reorder the terms:
6(1 + -3x) = -17(x + 1)
(1 * 6 + -3x * 6) = -17(x + 1)
(6 + -18x) = -17(x + 1)

Reorder the terms:
6 + -18x = -17(1 + x)
6 + -18x = (1 * -17 + x * -17)
6 + -18x = (-17 + -17x)

Solving
6 + -18x = -17 + -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.
6 + -18x + 17x = -17 + -17x + 17x

Combine like terms: -18x + 17x = -1x
6 + -1x = -17 + -17x + 17x

Combine like terms: -17x + 17x = 0
6 + -1x = -17 + 0
6 + -1x = -17

Add '-6' to each side of the equation.
6 + -6 + -1x = -17 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -17 + -6
-1x = -17 + -6

Combine like terms: -17 + -6 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23