2-[x-3(x-4)]=5

Solution for 2-[x-3(x-4)]=5 equation:

Simplifying
2 + -1[x + -3(x + -4)] = 5

Reorder the terms:
2 + -1[x + -3(-4 + x)] = 5
2 + -1[x + (-4 * -3 + x * -3)] = 5
2 + -1[x + (12 + -3x)] = 5

Reorder the terms:
2 + -1[12 + x + -3x] = 5

Combine like terms: x + -3x = -2x
2 + -1[12 + -2x] = 5
2 + [12 * -1 + -2x * -1] = 5
2 + [-12 + 2x] = 5

Combine like terms: 2 + -12 = -10
-10 + 2x = 5

Solving
-10 + 2x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 5 + 10
2x = 5 + 10

Combine like terms: 5 + 10 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5