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

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

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

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

Combine like terms: 2u + 5u = 7u
-6 + 7u = -3(u + 3)

Reorder the terms:
-6 + 7u = -3(3 + u)
-6 + 7u = (3 * -3 + u * -3)
-6 + 7u = (-9 + -3u)

Solving
-6 + 7u = -9 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
-6 + 7u + 3u = -9 + -3u + 3u

Combine like terms: 7u + 3u = 10u
-6 + 10u = -9 + -3u + 3u

Combine like terms: -3u + 3u = 0
-6 + 10u = -9 + 0
-6 + 10u = -9

Add '6' to each side of the equation.
-6 + 6 + 10u = -9 + 6

Combine like terms: -6 + 6 = 0
0 + 10u = -9 + 6
10u = -9 + 6

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

Divide each side by '10'.
u = -0.3

Simplifying
u = -0.3