6(-2x+1)=11(x+1)

Solution for 6(-2x+1)=11(x+1) equation:

Simplifying
6(-2x + 1) = 11(x + 1)

Reorder the terms:
6(1 + -2x) = 11(x + 1)
(1 * 6 + -2x * 6) = 11(x + 1)
(6 + -12x) = 11(x + 1)

Reorder the terms:
6 + -12x = 11(1 + x)
6 + -12x = (1 * 11 + x * 11)
6 + -12x = (11 + 11x)

Solving
6 + -12x = 11 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
6 + -12x + -11x = 11 + 11x + -11x

Combine like terms: -12x + -11x = -23x
6 + -23x = 11 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + -23x = 11 + 0
6 + -23x = 11

Add '-6' to each side of the equation.
6 + -6 + -23x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -23x = 11 + -6
-23x = 11 + -6

Combine like terms: 11 + -6 = 5
-23x = 5

Divide each side by '-23'.
x = -0.2173913043

Simplifying
x = -0.2173913043