2[-(x-1)+4]=5+[-(6-7)+9x]

Solution for 2[-(x-1)+4]=5+[-(6-7)+9x] equation:

Simplifying
2[-1(x + -1) + 4] = 5 + [-1(6 + -7) + 9x]

Reorder the terms:
2[-1(-1 + x) + 4] = 5 + [-1(6 + -7) + 9x]
2[(-1 * -1 + x * -1) + 4] = 5 + [-1(6 + -7) + 9x]
2[(1 + -1x) + 4] = 5 + [-1(6 + -7) + 9x]

Reorder the terms:
2[1 + 4 + -1x] = 5 + [-1(6 + -7) + 9x]

Combine like terms: 1 + 4 = 5
2[5 + -1x] = 5 + [-1(6 + -7) + 9x]
[5 * 2 + -1x * 2] = 5 + [-1(6 + -7) + 9x]
[10 + -2x] = 5 + [-1(6 + -7) + 9x]

Combine like terms: 6 + -7 = -1
10 + -2x = 5 + [-1(-1) + 9x]

Multiply -1 * -1
10 + -2x = 5 + [1 + 9x]

Remove brackets around [1 + 9x]
10 + -2x = 5 + 1 + 9x

Combine like terms: 5 + 1 = 6
10 + -2x = 6 + 9x

Solving
10 + -2x = 6 + 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.
10 + -2x + -9x = 6 + 9x + -9x

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

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

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

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

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

Divide each side by '-11'.
x = 0.3636363636

Simplifying
x = 0.3636363636