2a+6=2(0.6a+1.3)

Solution for 2a+6=2(0.6a+1.3) equation:

Simplifying
2a + 6 = 2(0.6a + 1.3)

Reorder the terms:
6 + 2a = 2(0.6a + 1.3)

Reorder the terms:
6 + 2a = 2(1.3 + 0.6a)
6 + 2a = (1.3 * 2 + 0.6a * 2)
6 + 2a = (2.6 + 1.2a)

Solving
6 + 2a = 2.6 + 1.2a

Solving for variable 'a'.

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

Add '-1.2a' to each side of the equation.
6 + 2a + -1.2a = 2.6 + 1.2a + -1.2a

Combine like terms: 2a + -1.2a = 0.8a
6 + 0.8a = 2.6 + 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
6 + 0.8a = 2.6 + 0.0
6 + 0.8a = 2.6

Add '-6' to each side of the equation.
6 + -6 + 0.8a = 2.6 + -6

Combine like terms: 6 + -6 = 0
0 + 0.8a = 2.6 + -6
0.8a = 2.6 + -6

Combine like terms: 2.6 + -6 = -3.4
0.8a = -3.4

Divide each side by '0.8'.
a = -4.25

Simplifying
a = -4.25