-8u+27=3(u-2)

Solution for -8u+27=3(u-2) equation:

Simplifying
-8u + 27 = 3(u + -2)

Reorder the terms:
27 + -8u = 3(u + -2)

Reorder the terms:
27 + -8u = 3(-2 + u)
27 + -8u = (-2 * 3 + u * 3)
27 + -8u = (-6 + 3u)

Solving
27 + -8u = -6 + 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.
27 + -8u + -3u = -6 + 3u + -3u

Combine like terms: -8u + -3u = -11u
27 + -11u = -6 + 3u + -3u

Combine like terms: 3u + -3u = 0
27 + -11u = -6 + 0
27 + -11u = -6

Add '-27' to each side of the equation.
27 + -27 + -11u = -6 + -27

Combine like terms: 27 + -27 = 0
0 + -11u = -6 + -27
-11u = -6 + -27

Combine like terms: -6 + -27 = -33
-11u = -33

Divide each side by '-11'.
u = 3

Simplifying
u = 3