x+2[3-5(1-x)]=3(x-3)+5

Solution for x+2[3-5(1-x)]=3(x-3)+5 equation:

Simplifying
x + 2[3 + -5(1 + -1x)] = 3(x + -3) + 5
x + 2[3 + (1 * -5 + -1x * -5)] = 3(x + -3) + 5
x + 2[3 + (-5 + 5x)] = 3(x + -3) + 5

Combine like terms: 3 + -5 = -2
x + 2[-2 + 5x] = 3(x + -3) + 5
x + [-2 * 2 + 5x * 2] = 3(x + -3) + 5
x + [-4 + 10x] = 3(x + -3) + 5

Reorder the terms:
-4 + x + 10x = 3(x + -3) + 5

Combine like terms: x + 10x = 11x
-4 + 11x = 3(x + -3) + 5

Reorder the terms:
-4 + 11x = 3(-3 + x) + 5
-4 + 11x = (-3 * 3 + x * 3) + 5
-4 + 11x = (-9 + 3x) + 5

Reorder the terms:
-4 + 11x = -9 + 5 + 3x

Combine like terms: -9 + 5 = -4
-4 + 11x = -4 + 3x

Add '4' to each side of the equation.
-4 + 4 + 11x = -4 + 4 + 3x

Combine like terms: -4 + 4 = 0
0 + 11x = -4 + 4 + 3x
11x = -4 + 4 + 3x

Combine like terms: -4 + 4 = 0
11x = 0 + 3x
11x = 3x

Solving
11x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11x + -3x = 3x + -3x

Combine like terms: 11x + -3x = 8x
8x = 3x + -3x

Combine like terms: 3x + -3x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0