2+3.8t-2.6=0.8t+0.9-2t

Solution for 2+3.8t-2.6=0.8t+0.9-2t equation:

Simplifying
2 + 3.8t + -2.6 = 0.8t + 0.9 + -2t

Reorder the terms:
2 + -2.6 + 3.8t = 0.8t + 0.9 + -2t

Combine like terms: 2 + -2.6 = -0.6
-0.6 + 3.8t = 0.8t + 0.9 + -2t

Reorder the terms:
-0.6 + 3.8t = 0.9 + 0.8t + -2t

Combine like terms: 0.8t + -2t = -1.2t
-0.6 + 3.8t = 0.9 + -1.2t

Solving
-0.6 + 3.8t = 0.9 + -1.2t

Solving for variable 't'.

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

Add '1.2t' to each side of the equation.
-0.6 + 3.8t + 1.2t = 0.9 + -1.2t + 1.2t

Combine like terms: 3.8t + 1.2t = 5t
-0.6 + 5t = 0.9 + -1.2t + 1.2t

Combine like terms: -1.2t + 1.2t = 0.0
-0.6 + 5t = 0.9 + 0.0
-0.6 + 5t = 0.9

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 5t = 0.9 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 5t = 0.9 + 0.6
5t = 0.9 + 0.6

Combine like terms: 0.9 + 0.6 = 1.5
5t = 1.5

Divide each side by '5'.
t = 0.3

Simplifying
t = 0.3