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

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

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

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

Combine like terms: 3u + -5u = -2u
-6 + -2u = 2(u + 3)

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

Solving
-6 + -2u = 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.
-6 + -2u + -2u = 6 + 2u + -2u

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

Combine like terms: 2u + -2u = 0
-6 + -4u = 6 + 0
-6 + -4u = 6

Add '6' to each side of the equation.
-6 + 6 + -4u = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -4u = 6 + 6
-4u = 6 + 6

Combine like terms: 6 + 6 = 12
-4u = 12

Divide each side by '-4'.
u = -3

Simplifying
u = -3