14.2t-25.2=3.8t+28.6

Solution for 14.2t-25.2=3.8t+28.6 equation:

Simplifying
14.2t + -25.2 = 3.8t + 28.6

Reorder the terms:
-25.2 + 14.2t = 3.8t + 28.6

Reorder the terms:
-25.2 + 14.2t = 28.6 + 3.8t

Solving
-25.2 + 14.2t = 28.6 + 3.8t

Solving for variable 't'.

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

Add '-3.8t' to each side of the equation.
-25.2 + 14.2t + -3.8t = 28.6 + 3.8t + -3.8t

Combine like terms: 14.2t + -3.8t = 10.4t
-25.2 + 10.4t = 28.6 + 3.8t + -3.8t

Combine like terms: 3.8t + -3.8t = 0.0
-25.2 + 10.4t = 28.6 + 0.0
-25.2 + 10.4t = 28.6

Add '25.2' to each side of the equation.
-25.2 + 25.2 + 10.4t = 28.6 + 25.2

Combine like terms: -25.2 + 25.2 = 0.0
0.0 + 10.4t = 28.6 + 25.2
10.4t = 28.6 + 25.2

Combine like terms: 28.6 + 25.2 = 53.8
10.4t = 53.8

Divide each side by '10.4'.
t = 5.173076923

Simplifying
t = 5.173076923