2.6(t+2)=(1.3t+2)+1.2

Solution for 2.6(t+2)=(1.3t+2)+1.2 equation:

Simplifying
2.6(t + 2) = (1.3t + 2) + 1.2

Reorder the terms:
2.6(2 + t) = (1.3t + 2) + 1.2
(2 * 2.6 + t * 2.6) = (1.3t + 2) + 1.2
(5.2 + 2.6t) = (1.3t + 2) + 1.2

Reorder the terms:
5.2 + 2.6t = (2 + 1.3t) + 1.2

Remove parenthesis around (2 + 1.3t)
5.2 + 2.6t = 2 + 1.3t + 1.2

Reorder the terms:
5.2 + 2.6t = 2 + 1.2 + 1.3t

Combine like terms: 2 + 1.2 = 3.2
5.2 + 2.6t = 3.2 + 1.3t

Solving
5.2 + 2.6t = 3.2 + 1.3t

Solving for variable 't'.

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

Add '-1.3t' to each side of the equation.
5.2 + 2.6t + -1.3t = 3.2 + 1.3t + -1.3t

Combine like terms: 2.6t + -1.3t = 1.3t
5.2 + 1.3t = 3.2 + 1.3t + -1.3t

Combine like terms: 1.3t + -1.3t = 0.0
5.2 + 1.3t = 3.2 + 0.0
5.2 + 1.3t = 3.2

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 1.3t = 3.2 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 1.3t = 3.2 + -5.2
1.3t = 3.2 + -5.2

Combine like terms: 3.2 + -5.2 = -2
1.3t = -2

Divide each side by '1.3'.
t = -1.538461538

Simplifying
t = -1.538461538