2(u-3)=(u-4)-(u-6)

Solution for 2(u-3)=(u-4)-(u-6) equation:

Simplifying
2(u + -3) = (u + -4) + -1(u + -6)

Reorder the terms:
2(-3 + u) = (u + -4) + -1(u + -6)
(-3 * 2 + u * 2) = (u + -4) + -1(u + -6)
(-6 + 2u) = (u + -4) + -1(u + -6)

Reorder the terms:
-6 + 2u = (-4 + u) + -1(u + -6)

Remove parenthesis around (-4 + u)
-6 + 2u = -4 + u + -1(u + -6)

Reorder the terms:
-6 + 2u = -4 + u + -1(-6 + u)
-6 + 2u = -4 + u + (-6 * -1 + u * -1)
-6 + 2u = -4 + u + (6 + -1u)

Reorder the terms:
-6 + 2u = -4 + 6 + u + -1u

Combine like terms: -4 + 6 = 2
-6 + 2u = 2 + u + -1u

Combine like terms: u + -1u = 0
-6 + 2u = 2 + 0
-6 + 2u = 2

Solving
-6 + 2u = 2

Solving for variable 'u'.

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

Add '6' to each side of the equation.
-6 + 6 + 2u = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2u = 2 + 6
2u = 2 + 6

Combine like terms: 2 + 6 = 8
2u = 8

Divide each side by '2'.
u = 4

Simplifying
u = 4