(x+12)+6+12+3(x+6)=58.5

Solution for (x+12)+6+12+3(x+6)=58.5 equation:

Simplifying
(x + 12) + 6 + 12 + 3(x + 6) = 58.5

Reorder the terms:
(12 + x) + 6 + 12 + 3(x + 6) = 58.5

Remove parenthesis around (12 + x)
12 + x + 6 + 12 + 3(x + 6) = 58.5

Reorder the terms:
12 + x + 6 + 12 + 3(6 + x) = 58.5
12 + x + 6 + 12 + (6 * 3 + x * 3) = 58.5
12 + x + 6 + 12 + (18 + 3x) = 58.5

Reorder the terms:
12 + 6 + 12 + 18 + x + 3x = 58.5

Combine like terms: 12 + 6 = 18
18 + 12 + 18 + x + 3x = 58.5

Combine like terms: 18 + 12 = 30
30 + 18 + x + 3x = 58.5

Combine like terms: 30 + 18 = 48
48 + x + 3x = 58.5

Combine like terms: x + 3x = 4x
48 + 4x = 58.5

Solving
48 + 4x = 58.5

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 4x = 58.5 + -48

Combine like terms: 48 + -48 = 0
0 + 4x = 58.5 + -48
4x = 58.5 + -48

Combine like terms: 58.5 + -48 = 10.5
4x = 10.5

Divide each side by '4'.
x = 2.625

Simplifying
x = 2.625