2u+3-3(-5u-2)=3(u-1)

Solution for 2u+3-3(-5u-2)=3(u-1) equation:

Simplifying
2u + 3 + -3(-5u + -2) = 3(u + -1)

Reorder the terms:
2u + 3 + -3(-2 + -5u) = 3(u + -1)
2u + 3 + (-2 * -3 + -5u * -3) = 3(u + -1)
2u + 3 + (6 + 15u) = 3(u + -1)

Reorder the terms:
3 + 6 + 2u + 15u = 3(u + -1)

Combine like terms: 3 + 6 = 9
9 + 2u + 15u = 3(u + -1)

Combine like terms: 2u + 15u = 17u
9 + 17u = 3(u + -1)

Reorder the terms:
9 + 17u = 3(-1 + u)
9 + 17u = (-1 * 3 + u * 3)
9 + 17u = (-3 + 3u)

Solving
9 + 17u = -3 + 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.
9 + 17u + -3u = -3 + 3u + -3u

Combine like terms: 17u + -3u = 14u
9 + 14u = -3 + 3u + -3u

Combine like terms: 3u + -3u = 0
9 + 14u = -3 + 0
9 + 14u = -3

Add '-9' to each side of the equation.
9 + -9 + 14u = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 14u = -3 + -9
14u = -3 + -9

Combine like terms: -3 + -9 = -12
14u = -12

Divide each side by '14'.
u = -0.8571428571

Simplifying
u = -0.8571428571