0.2a-1.42=0.6-1.3-(2a-3)

Solution for 0.2a-1.42=0.6-1.3-(2a-3) equation:

Simplifying
0.2a + -1.42 = 0.6 + -1.3 + -1(2a + -3)

Reorder the terms:
-1.42 + 0.2a = 0.6 + -1.3 + -1(2a + -3)

Reorder the terms:
-1.42 + 0.2a = 0.6 + -1.3 + -1(-3 + 2a)
-1.42 + 0.2a = 0.6 + -1.3 + (-3 * -1 + 2a * -1)
-1.42 + 0.2a = 0.6 + -1.3 + (3 + -2a)

Combine like terms: 0.6 + -1.3 = -0.7
-1.42 + 0.2a = -0.7 + 3 + -2a

Combine like terms: -0.7 + 3 = 2.3
-1.42 + 0.2a = 2.3 + -2a

Solving
-1.42 + 0.2a = 2.3 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-1.42 + 0.2a + 2a = 2.3 + -2a + 2a

Combine like terms: 0.2a + 2a = 2.2a
-1.42 + 2.2a = 2.3 + -2a + 2a

Combine like terms: -2a + 2a = 0
-1.42 + 2.2a = 2.3 + 0
-1.42 + 2.2a = 2.3

Add '1.42' to each side of the equation.
-1.42 + 1.42 + 2.2a = 2.3 + 1.42

Combine like terms: -1.42 + 1.42 = 0.00
0.00 + 2.2a = 2.3 + 1.42
2.2a = 2.3 + 1.42

Combine like terms: 2.3 + 1.42 = 3.72
2.2a = 3.72

Divide each side by '2.2'.
a = 1.690909091

Simplifying
a = 1.690909091