2(a-8.5)-2.6=3.1a+7.4

Solution for 2(a-8.5)-2.6=3.1a+7.4 equation:

Simplifying
2(a + -8.5) + -2.6 = 3.1a + 7.4

Reorder the terms:
2(-8.5 + a) + -2.6 = 3.1a + 7.4
(-8.5 * 2 + a * 2) + -2.6 = 3.1a + 7.4
(-17 + 2a) + -2.6 = 3.1a + 7.4

Reorder the terms:
-17 + -2.6 + 2a = 3.1a + 7.4

Combine like terms: -17 + -2.6 = -19.6
-19.6 + 2a = 3.1a + 7.4

Reorder the terms:
-19.6 + 2a = 7.4 + 3.1a

Solving
-19.6 + 2a = 7.4 + 3.1a

Solving for variable 'a'.

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

Add '-3.1a' to each side of the equation.
-19.6 + 2a + -3.1a = 7.4 + 3.1a + -3.1a

Combine like terms: 2a + -3.1a = -1.1a
-19.6 + -1.1a = 7.4 + 3.1a + -3.1a

Combine like terms: 3.1a + -3.1a = 0.0
-19.6 + -1.1a = 7.4 + 0.0
-19.6 + -1.1a = 7.4

Add '19.6' to each side of the equation.
-19.6 + 19.6 + -1.1a = 7.4 + 19.6

Combine like terms: -19.6 + 19.6 = 0.0
0.0 + -1.1a = 7.4 + 19.6
-1.1a = 7.4 + 19.6

Combine like terms: 7.4 + 19.6 = 27
-1.1a = 27

Divide each side by '-1.1'.
a = -24.54545455

Simplifying
a = -24.54545455