-6(x+1)=-11(x-9)

Solution for -6(x+1)=-11(x-9) equation:

Simplifying
-6(x + 1) = -11(x + -9)

Reorder the terms:
-6(1 + x) = -11(x + -9)
(1 * -6 + x * -6) = -11(x + -9)
(-6 + -6x) = -11(x + -9)

Reorder the terms:
-6 + -6x = -11(-9 + x)
-6 + -6x = (-9 * -11 + x * -11)
-6 + -6x = (99 + -11x)

Solving
-6 + -6x = 99 + -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 + -6x + 11x = 99 + -11x + 11x

Combine like terms: -6x + 11x = 5x
-6 + 5x = 99 + -11x + 11x

Combine like terms: -11x + 11x = 0
-6 + 5x = 99 + 0
-6 + 5x = 99

Add '6' to each side of the equation.
-6 + 6 + 5x = 99 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 99 + 6
5x = 99 + 6

Combine like terms: 99 + 6 = 105
5x = 105

Divide each side by '5'.
x = 21

Simplifying
x = 21