2a+4.2=3a-1.6

Solution for 2a+4.2=3a-1.6 equation:

Simplifying
2a + 4.2 = 3a + -1.6

Reorder the terms:
4.2 + 2a = 3a + -1.6

Reorder the terms:
4.2 + 2a = -1.6 + 3a

Solving
4.2 + 2a = -1.6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
4.2 + 2a + -3a = -1.6 + 3a + -3a

Combine like terms: 2a + -3a = -1a
4.2 + -1a = -1.6 + 3a + -3a

Combine like terms: 3a + -3a = 0
4.2 + -1a = -1.6 + 0
4.2 + -1a = -1.6

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -1a = -1.6 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -1a = -1.6 + -4.2
-1a = -1.6 + -4.2

Combine like terms: -1.6 + -4.2 = -5.8
-1a = -5.8

Divide each side by '-1'.
a = 5.8

Simplifying
a = 5.8