s+(3x+0.22)+(s-0.12)=4.6

Solution for s+(3x+0.22)+(s-0.12)=4.6 equation:

Simplifying
s + (3x + 0.22) + (s + -0.12) = 4.6

Reorder the terms:
s + (0.22 + 3x) + (s + -0.12) = 4.6

Remove parenthesis around (0.22 + 3x)
s + 0.22 + 3x + (s + -0.12) = 4.6

Reorder the terms:
s + 0.22 + 3x + (-0.12 + s) = 4.6

Remove parenthesis around (-0.12 + s)
s + 0.22 + 3x + -0.12 + s = 4.6

Reorder the terms:
0.22 + -0.12 + s + s + 3x = 4.6

Combine like terms: 0.22 + -0.12 = 0.1
0.1 + s + s + 3x = 4.6

Combine like terms: s + s = 2s
0.1 + 2s + 3x = 4.6

Solving
0.1 + 2s + 3x = 4.6

Solving for variable 's'.

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

Add '-0.1' to each side of the equation.
0.1 + 2s + -0.1 + 3x = 4.6 + -0.1

Reorder the terms:
0.1 + -0.1 + 2s + 3x = 4.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 2s + 3x = 4.6 + -0.1
2s + 3x = 4.6 + -0.1

Combine like terms: 4.6 + -0.1 = 4.5
2s + 3x = 4.5

Add '-3x' to each side of the equation.
2s + 3x + -3x = 4.5 + -3x

Combine like terms: 3x + -3x = 0
2s + 0 = 4.5 + -3x
2s = 4.5 + -3x

Divide each side by '2'.
s = 2.25 + -1.5x

Simplifying
s = 2.25 + -1.5x