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

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

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

Reorder the terms:
6(1 + -2x) = -1(x + 1)
(1 * 6 + -2x * 6) = -1(x + 1)
(6 + -12x) = -1(x + 1)

Reorder the terms:
6 + -12x = -1(1 + x)
6 + -12x = (1 * -1 + x * -1)
6 + -12x = (-1 + -1x)

Solving
6 + -12x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + -12x + x = -1 + -1x + x

Combine like terms: -12x + x = -11x
6 + -11x = -1 + -1x + x

Combine like terms: -1x + x = 0
6 + -11x = -1 + 0
6 + -11x = -1

Add '-6' to each side of the equation.
6 + -6 + -11x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -1 + -6
-11x = -1 + -6

Combine like terms: -1 + -6 = -7
-11x = -7

Divide each side by '-11'.
x = 0.6363636364

Simplifying
x = 0.6363636364