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

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

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

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

Combine like terms: 1.3 + 2 = 3.3
5.2 + 2.6x = 2(3.3) + 1.2

Multiply 2 * 3.3
5.2 + 2.6x = 6.6 + 1.2

Combine like terms: 6.6 + 1.2 = 7.8
5.2 + 2.6x = 7.8

Solving
5.2 + 2.6x = 7.8

Solving for variable 'x'.

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

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 2.6x = 7.8 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 2.6x = 7.8 + -5.2
2.6x = 7.8 + -5.2

Combine like terms: 7.8 + -5.2 = 2.6
2.6x = 2.6

Divide each side by '2.6'.
x = 1

Simplifying
x = 1