8+2(x-1)=1-9(x-1)

Solution for 8+2(x-1)=1-9(x-1) equation:

Simplifying
8 + 2(x + -1) = 1 + -9(x + -1)

Reorder the terms:
8 + 2(-1 + x) = 1 + -9(x + -1)
8 + (-1 * 2 + x * 2) = 1 + -9(x + -1)
8 + (-2 + 2x) = 1 + -9(x + -1)

Combine like terms: 8 + -2 = 6
6 + 2x = 1 + -9(x + -1)

Reorder the terms:
6 + 2x = 1 + -9(-1 + x)
6 + 2x = 1 + (-1 * -9 + x * -9)
6 + 2x = 1 + (9 + -9x)

Combine like terms: 1 + 9 = 10
6 + 2x = 10 + -9x

Solving
6 + 2x = 10 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + 2x + 9x = 10 + -9x + 9x

Combine like terms: 2x + 9x = 11x
6 + 11x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 11x = 10 + 0
6 + 11x = 10

Add '-6' to each side of the equation.
6 + -6 + 11x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 10 + -6
11x = 10 + -6

Combine like terms: 10 + -6 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636