u+3-2(-5u-3)=2(u-3)

Solution for u+3-2(-5u-3)=2(u-3) equation:

Simplifying
u + 3 + -2(-5u + -3) = 2(u + -3)

Reorder the terms:
u + 3 + -2(-3 + -5u) = 2(u + -3)
u + 3 + (-3 * -2 + -5u * -2) = 2(u + -3)
u + 3 + (6 + 10u) = 2(u + -3)

Reorder the terms:
3 + 6 + u + 10u = 2(u + -3)

Combine like terms: 3 + 6 = 9
9 + u + 10u = 2(u + -3)

Combine like terms: u + 10u = 11u
9 + 11u = 2(u + -3)

Reorder the terms:
9 + 11u = 2(-3 + u)
9 + 11u = (-3 * 2 + u * 2)
9 + 11u = (-6 + 2u)

Solving
9 + 11u = -6 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
9 + 11u + -2u = -6 + 2u + -2u

Combine like terms: 11u + -2u = 9u
9 + 9u = -6 + 2u + -2u

Combine like terms: 2u + -2u = 0
9 + 9u = -6 + 0
9 + 9u = -6

Add '-9' to each side of the equation.
9 + -9 + 9u = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 9u = -6 + -9
9u = -6 + -9

Combine like terms: -6 + -9 = -15
9u = -15

Divide each side by '9'.
u = -1.666666667

Simplifying
u = -1.666666667