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

Solution for 3(u-3)=u+6-3(2u-1) equation:

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

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

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

Reorder the terms:
-9 + 3u = 6 + 3 + u + -6u

Combine like terms: 6 + 3 = 9
-9 + 3u = 9 + u + -6u

Combine like terms: u + -6u = -5u
-9 + 3u = 9 + -5u

Solving
-9 + 3u = 9 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
-9 + 3u + 5u = 9 + -5u + 5u

Combine like terms: 3u + 5u = 8u
-9 + 8u = 9 + -5u + 5u

Combine like terms: -5u + 5u = 0
-9 + 8u = 9 + 0
-9 + 8u = 9

Add '9' to each side of the equation.
-9 + 9 + 8u = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 8u = 9 + 9
8u = 9 + 9

Combine like terms: 9 + 9 = 18
8u = 18

Divide each side by '8'.
u = 2.25

Simplifying
u = 2.25