19=3(u-2)-8u

Solution for 19=3(u-2)-8u equation:

Simplifying
19 = 3(u + -2) + -8u

Reorder the terms:
19 = 3(-2 + u) + -8u
19 = (-2 * 3 + u * 3) + -8u
19 = (-6 + 3u) + -8u

Combine like terms: 3u + -8u = -5u
19 = -6 + -5u

Solving
19 = -6 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
19 + 5u = -6 + -5u + 5u

Combine like terms: -5u + 5u = 0
19 + 5u = -6 + 0
19 + 5u = -6

Add '-19' to each side of the equation.
19 + -19 + 5u = -6 + -19

Combine like terms: 19 + -19 = 0
0 + 5u = -6 + -19
5u = -6 + -19

Combine like terms: -6 + -19 = -25
5u = -25

Divide each side by '5'.
u = -5

Simplifying
u = -5