0.5t+3.6=42-1.5t

Solution for 0.5t+3.6=42-1.5t equation:

Simplifying
0.5t + 3.6 = 42 + -1.5t

Reorder the terms:
3.6 + 0.5t = 42 + -1.5t

Solving
3.6 + 0.5t = 42 + -1.5t

Solving for variable 't'.

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

Add '1.5t' to each side of the equation.
3.6 + 0.5t + 1.5t = 42 + -1.5t + 1.5t

Combine like terms: 0.5t + 1.5t = 2t
3.6 + 2t = 42 + -1.5t + 1.5t

Combine like terms: -1.5t + 1.5t = 0.0
3.6 + 2t = 42 + 0.0
3.6 + 2t = 42

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 2t = 42 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 2t = 42 + -3.6
2t = 42 + -3.6

Combine like terms: 42 + -3.6 = 38.4
2t = 38.4

Divide each side by '2'.
t = 19.2

Simplifying
t = 19.2