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)

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.