3(-6x+2)=-8x+1

Solution for 3(-6x+2)=-8x+1 equation:

Simplifying
3(-6x + 2) = -8x + 1

Reorder the terms:
3(2 + -6x) = -8x + 1
(2 * 3 + -6x * 3) = -8x + 1
(6 + -18x) = -8x + 1

Reorder the terms:
6 + -18x = 1 + -8x

Solving
6 + -18x = 1 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + -18x + 8x = 1 + -8x + 8x

Combine like terms: -18x + 8x = -10x
6 + -10x = 1 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + -10x = 1 + 0
6 + -10x = 1

Add '-6' to each side of the equation.
6 + -6 + -10x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = 1 + -6
-10x = 1 + -6

Combine like terms: 1 + -6 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5