6(5u+1)-3(4u-12)=

Solution for 6(5u+1)-3(4u-12)= equation:

Simplifying
6(5u + 1) + -3(4u + -12) = 0

Reorder the terms:
6(1 + 5u) + -3(4u + -12) = 0
(1 * 6 + 5u * 6) + -3(4u + -12) = 0
(6 + 30u) + -3(4u + -12) = 0

Reorder the terms:
6 + 30u + -3(-12 + 4u) = 0
6 + 30u + (-12 * -3 + 4u * -3) = 0
6 + 30u + (36 + -12u) = 0

Reorder the terms:
6 + 36 + 30u + -12u = 0

Combine like terms: 6 + 36 = 42
42 + 30u + -12u = 0

Combine like terms: 30u + -12u = 18u
42 + 18u = 0

Solving
42 + 18u = 0

Solving for variable 'u'.

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

Add '-42' to each side of the equation.
42 + -42 + 18u = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 18u = 0 + -42
18u = 0 + -42

Combine like terms: 0 + -42 = -42
18u = -42

Divide each side by '18'.
u = -2.333333333

Simplifying
u = -2.333333333