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 = -2.6
-1a = -2.6

Divide each side by '-1'.
a = 2.6

Simplifying
a = 2.6