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

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

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

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

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

Combine like terms: -17 + -2 = -19
-19 + 2a = 3.1a + 7.4

Reorder the terms:
-19 + 2a = 7.4 + 3.1a

Solving
-19 + 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 + 2a + -3.1a = 7.4 + 3.1a + -3.1a

Combine like terms: 2a + -3.1a = -1.1a
-19 + -1.1a = 7.4 + 3.1a + -3.1a

Combine like terms: 3.1a + -3.1a = 0.0
-19 + -1.1a = 7.4 + 0.0
-19 + -1.1a = 7.4

Add '19' to each side of the equation.
-19 + 19 + -1.1a = 7.4 + 19

Combine like terms: -19 + 19 = 0
0 + -1.1a = 7.4 + 19
-1.1a = 7.4 + 19

Combine like terms: 7.4 + 19 = 26.4
-1.1a = 26.4

Divide each side by '-1.1'.
a = -24

Simplifying
a = -24