6(a+3.1)=14a-19.0

Solution for 6(a+3.1)=14a-19.0 equation:

Simplifying
6(a + 3.1) = 14a + -19.0

Reorder the terms:
6(3.1 + a) = 14a + -19.0
(3.1 * 6 + a * 6) = 14a + -19.0
(18.6 + 6a) = 14a + -19.0

Reorder the terms:
18.6 + 6a = -19.0 + 14a

Solving
18.6 + 6a = -19.0 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
18.6 + 6a + -14a = -19.0 + 14a + -14a

Combine like terms: 6a + -14a = -8a
18.6 + -8a = -19.0 + 14a + -14a

Combine like terms: 14a + -14a = 0
18.6 + -8a = -19.0 + 0
18.6 + -8a = -19.0

Add '-18.6' to each side of the equation.
18.6 + -18.6 + -8a = -19.0 + -18.6

Combine like terms: 18.6 + -18.6 = 0.0
0.0 + -8a = -19.0 + -18.6
-8a = -19.0 + -18.6

Combine like terms: -19.0 + -18.6 = -37.6
-8a = -37.6

Divide each side by '-8'.
a = 4.7

Simplifying
a = 4.7