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

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

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

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

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

Combine like terms: -15u + u = -14u
-6 + -2u = 3 + -14u

Solving
-6 + -2u = 3 + -14u

Solving for variable 'u'.

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

Add '14u' to each side of the equation.
-6 + -2u + 14u = 3 + -14u + 14u

Combine like terms: -2u + 14u = 12u
-6 + 12u = 3 + -14u + 14u

Combine like terms: -14u + 14u = 0
-6 + 12u = 3 + 0
-6 + 12u = 3

Add '6' to each side of the equation.
-6 + 6 + 12u = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 12u = 3 + 6
12u = 3 + 6

Combine like terms: 3 + 6 = 9
12u = 9

Divide each side by '12'.
u = 0.75

Simplifying
u = 0.75