.50+.40t-1=.20t+t

Solution for .50+.40t-1=.20t+t equation:

Simplifying
0.50 + 0.40t + -1 = 0.20t + t

Reorder the terms:
0.50 + -1 + 0.40t = 0.20t + t

Combine like terms: 0.50 + -1 = -0.5
-0.5 + 0.40t = 0.20t + t

Combine like terms: 0.20t + t = 1.2t
-0.5 + 0.40t = 1.2t

Solving
-0.5 + 0.40t = 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.
-0.5 + 0.40t + -1.2t = 1.2t + -1.2t

Combine like terms: 0.40t + -1.2t = -0.8t
-0.5 + -0.8t = 1.2t + -1.2t

Combine like terms: 1.2t + -1.2t = 0.0
-0.5 + -0.8t = 0.0

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -0.8t = 0.0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -0.8t = 0.0 + 0.5
-0.8t = 0.0 + 0.5

Combine like terms: 0.0 + 0.5 = 0.5
-0.8t = 0.5

Divide each side by '-0.8'.
t = -0.625

Simplifying
t = -0.625