0.2(108+t)=4t+8.3

Solution for 0.2(108+t)=4t+8.3 equation:

Simplifying
0.2(108 + t) = 4t + 8.3
(108 * 0.2 + t * 0.2) = 4t + 8.3
(21.6 + 0.2t) = 4t + 8.3

Reorder the terms:
21.6 + 0.2t = 8.3 + 4t

Solving
21.6 + 0.2t = 8.3 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
21.6 + 0.2t + -4t = 8.3 + 4t + -4t

Combine like terms: 0.2t + -4t = -3.8t
21.6 + -3.8t = 8.3 + 4t + -4t

Combine like terms: 4t + -4t = 0
21.6 + -3.8t = 8.3 + 0
21.6 + -3.8t = 8.3

Add '-21.6' to each side of the equation.
21.6 + -21.6 + -3.8t = 8.3 + -21.6

Combine like terms: 21.6 + -21.6 = 0.0
0.0 + -3.8t = 8.3 + -21.6
-3.8t = 8.3 + -21.6

Combine like terms: 8.3 + -21.6 = -13.3
-3.8t = -13.3

Divide each side by '-3.8'.
t = 3.5

Simplifying
t = 3.5