3.1a+4(2.5+2a)=31+5.1a

Solution for 3.1a+4(2.5+2a)=31+5.1a equation:

Simplifying
3.1a + 4(2.5 + 2a) = 31 + 5.1a
3.1a + (2.5 * 4 + 2a * 4) = 31 + 5.1a
3.1a + (10 + 8a) = 31 + 5.1a

Reorder the terms:
10 + 3.1a + 8a = 31 + 5.1a

Combine like terms: 3.1a + 8a = 11.1a
10 + 11.1a = 31 + 5.1a

Solving
10 + 11.1a = 31 + 5.1a

Solving for variable 'a'.

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

Add '-5.1a' to each side of the equation.
10 + 11.1a + -5.1a = 31 + 5.1a + -5.1a

Combine like terms: 11.1a + -5.1a = 6a
10 + 6a = 31 + 5.1a + -5.1a

Combine like terms: 5.1a + -5.1a = 0.0
10 + 6a = 31 + 0.0
10 + 6a = 31

Add '-10' to each side of the equation.
10 + -10 + 6a = 31 + -10

Combine like terms: 10 + -10 = 0
0 + 6a = 31 + -10
6a = 31 + -10

Combine like terms: 31 + -10 = 21
6a = 21

Divide each side by '6'.
a = 3.5

Simplifying
a = 3.5