3.1a+2=6a-2(1+2.4a)+1.53

Solution for 3.1a+2=6a-2(1+2.4a)+1.53 equation:

Simplifying
3.1a + 2 = 6a + -2(1 + 2.4a) + 1.53

Reorder the terms:
2 + 3.1a = 6a + -2(1 + 2.4a) + 1.53
2 + 3.1a = 6a + (1 * -2 + 2.4a * -2) + 1.53
2 + 3.1a = 6a + (-2 + -4.8a) + 1.53

Reorder the terms:
2 + 3.1a = -2 + 1.53 + 6a + -4.8a

Combine like terms: -2 + 1.53 = -0.47
2 + 3.1a = -0.47 + 6a + -4.8a

Combine like terms: 6a + -4.8a = 1.2a
2 + 3.1a = -0.47 + 1.2a

Solving
2 + 3.1a = -0.47 + 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.
2 + 3.1a + -1.2a = -0.47 + 1.2a + -1.2a

Combine like terms: 3.1a + -1.2a = 1.9a
2 + 1.9a = -0.47 + 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
2 + 1.9a = -0.47 + 0.0
2 + 1.9a = -0.47

Add '-2' to each side of the equation.
2 + -2 + 1.9a = -0.47 + -2

Combine like terms: 2 + -2 = 0
0 + 1.9a = -0.47 + -2
1.9a = -0.47 + -2

Combine like terms: -0.47 + -2 = -2.47
1.9a = -2.47

Divide each side by '1.9'.
a = -1.3

Simplifying
a = -1.3