2.6(t+2)=2(13+2)+1.2

Solution for 2.6(t+2)=2(13+2)+1.2 equation:

Simplifying
2.6(t + 2) = 2(13 + 2) + 1.2

Reorder the terms:
2.6(2 + t) = 2(13 + 2) + 1.2
(2 * 2.6 + t * 2.6) = 2(13 + 2) + 1.2
(5.2 + 2.6t) = 2(13 + 2) + 1.2

Combine like terms: 13 + 2 = 15
5.2 + 2.6t = 2(15) + 1.2

Multiply 2 * 15
5.2 + 2.6t = 30 + 1.2

Combine like terms: 30 + 1.2 = 31.2
5.2 + 2.6t = 31.2

Solving
5.2 + 2.6t = 31.2

Solving for variable 't'.

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

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 2.6t = 31.2 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 2.6t = 31.2 + -5.2
2.6t = 31.2 + -5.2

Combine like terms: 31.2 + -5.2 = 26
2.6t = 26

Divide each side by '2.6'.
t = 10

Simplifying
t = 10