.4t+2.6=.8(t-8.2)

Solution for .4t+2.6=.8(t-8.2) equation:

Simplifying
0.4t + 2.6 = 0.8(t + -8.2)

Reorder the terms:
2.6 + 0.4t = 0.8(t + -8.2)

Reorder the terms:
2.6 + 0.4t = 0.8(-8.2 + t)
2.6 + 0.4t = (-8.2 * 0.8 + t * 0.8)
2.6 + 0.4t = (-6.56 + 0.8t)

Solving
2.6 + 0.4t = -6.56 + 0.8t

Solving for variable 't'.

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

Add '-0.8t' to each side of the equation.
2.6 + 0.4t + -0.8t = -6.56 + 0.8t + -0.8t

Combine like terms: 0.4t + -0.8t = -0.4t
2.6 + -0.4t = -6.56 + 0.8t + -0.8t

Combine like terms: 0.8t + -0.8t = 0.0
2.6 + -0.4t = -6.56 + 0.0
2.6 + -0.4t = -6.56

Add '-2.6' to each side of the equation.
2.6 + -2.6 + -0.4t = -6.56 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -0.4t = -6.56 + -2.6
-0.4t = -6.56 + -2.6

Combine like terms: -6.56 + -2.6 = -9.16
-0.4t = -9.16

Divide each side by '-0.4'.
t = 22.9

Simplifying
t = 22.9