9+2(u-3)=3(u+1)-2(2u-1)

Solution for 9+2(u-3)=3(u+1)-2(2u-1) equation:

Simplifying
9 + 2(u + -3) = 3(u + 1) + -2(2u + -1)

Reorder the terms:
9 + 2(-3 + u) = 3(u + 1) + -2(2u + -1)
9 + (-3 * 2 + u * 2) = 3(u + 1) + -2(2u + -1)
9 + (-6 + 2u) = 3(u + 1) + -2(2u + -1)

Combine like terms: 9 + -6 = 3
3 + 2u = 3(u + 1) + -2(2u + -1)

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

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

Reorder the terms:
3 + 2u = 3 + 2 + 3u + -4u

Combine like terms: 3 + 2 = 5
3 + 2u = 5 + 3u + -4u

Combine like terms: 3u + -4u = -1u
3 + 2u = 5 + -1u

Solving
3 + 2u = 5 + -1u

Solving for variable 'u'.

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

Add 'u' to each side of the equation.
3 + 2u + u = 5 + -1u + u

Combine like terms: 2u + u = 3u
3 + 3u = 5 + -1u + u

Combine like terms: -1u + u = 0
3 + 3u = 5 + 0
3 + 3u = 5

Add '-3' to each side of the equation.
3 + -3 + 3u = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 3u = 5 + -3
3u = 5 + -3

Combine like terms: 5 + -3 = 2
3u = 2

Divide each side by '3'.
u = 0.6666666667

Simplifying
u = 0.6666666667