1.3u+3(u+8.2)=37.5

Solution for 1.3u+3(u+8.2)=37.5 equation:

Simplifying
1.3u + 3(u + 8.2) = 37.5

Reorder the terms:
1.3u + 3(8.2 + u) = 37.5
1.3u + (8.2 * 3 + u * 3) = 37.5
1.3u + (24.6 + 3u) = 37.5

Reorder the terms:
24.6 + 1.3u + 3u = 37.5

Combine like terms: 1.3u + 3u = 4.3u
24.6 + 4.3u = 37.5

Solving
24.6 + 4.3u = 37.5

Solving for variable 'u'.

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

Add '-24.6' to each side of the equation.
24.6 + -24.6 + 4.3u = 37.5 + -24.6

Combine like terms: 24.6 + -24.6 = 0.0
0.0 + 4.3u = 37.5 + -24.6
4.3u = 37.5 + -24.6

Combine like terms: 37.5 + -24.6 = 12.9
4.3u = 12.9

Divide each side by '4.3'.
u = 3

Simplifying
u = 3