2.1a+3=4.1a-2

Solution for 2.1a+3=4.1a-2 equation:

Simplifying
2.1a + 3 = 4.1a + -2

Reorder the terms:
3 + 2.1a = 4.1a + -2

Reorder the terms:
3 + 2.1a = -2 + 4.1a

Solving
3 + 2.1a = -2 + 4.1a

Solving for variable 'a'.

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

Add '-4.1a' to each side of the equation.
3 + 2.1a + -4.1a = -2 + 4.1a + -4.1a

Combine like terms: 2.1a + -4.1a = -2a
3 + -2a = -2 + 4.1a + -4.1a

Combine like terms: 4.1a + -4.1a = 0.0
3 + -2a = -2 + 0.0
3 + -2a = -2

Add '-3' to each side of the equation.
3 + -3 + -2a = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -2a = -2 + -3
-2a = -2 + -3

Combine like terms: -2 + -3 = -5
-2a = -5

Divide each side by '-2'.
a = 2.5

Simplifying
a = 2.5