2u+4(u-3)=30

Solution for 2u+4(u-3)=30 equation:

Simplifying
2u + 4(u + -3) = 30

Reorder the terms:
2u + 4(-3 + u) = 30
2u + (-3 * 4 + u * 4) = 30
2u + (-12 + 4u) = 30

Reorder the terms:
-12 + 2u + 4u = 30

Combine like terms: 2u + 4u = 6u
-12 + 6u = 30

Solving
-12 + 6u = 30

Solving for variable 'u'.

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

Add '12' to each side of the equation.
-12 + 12 + 6u = 30 + 12

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

Combine like terms: 30 + 12 = 42
6u = 42

Divide each side by '6'.
u = 7

Simplifying
u = 7