0=5[x-(5-x)]-9(x+1)

Solution for 0=5[x-(5-x)]-9(x+1) equation:

Simplifying
0 = 5[x + -1(5 + -1x)] + -9(x + 1)
0 = 5[x + (5 * -1 + -1x * -1)] + -9(x + 1)
0 = 5[x + (-5 + 1x)] + -9(x + 1)

Reorder the terms:
0 = 5[-5 + x + 1x] + -9(x + 1)

Combine like terms: x + 1x = 2x
0 = 5[-5 + 2x] + -9(x + 1)
0 = [-5 * 5 + 2x * 5] + -9(x + 1)
0 = [-25 + 10x] + -9(x + 1)

Reorder the terms:
0 = -25 + 10x + -9(1 + x)
0 = -25 + 10x + (1 * -9 + x * -9)
0 = -25 + 10x + (-9 + -9x)

Reorder the terms:
0 = -25 + -9 + 10x + -9x

Combine like terms: -25 + -9 = -34
0 = -34 + 10x + -9x

Combine like terms: 10x + -9x = 1x
0 = -34 + 1x

Solving
0 = -34 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0 + -1x = -34 + 1x + -1x
Remove the zero:
-1x = -34 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1x = -34 + 0
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34