0.4a+0.2=4.2a-7.8-0.6a

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Solution for 0.4a+0.2=4.2a-7.8-0.6a equation: 


Simplifying
0.4a + 0.2 = 4.2a + -7.8 + -0.6a

Reorder the terms:
0.2 + 0.4a = 4.2a + -7.8 + -0.6a

Reorder the terms:
0.2 + 0.4a = -7.8 + 4.2a + -0.6a

Combine like terms: 4.2a + -0.6a = 3.6a
0.2 + 0.4a = -7.8 + 3.6a

Solving
0.2 + 0.4a = -7.8 + 3.6a

Solving for variable 'a'.

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

Add '-3.6a' to each side of the equation.
0.2 + 0.4a + -3.6a = -7.8 + 3.6a + -3.6a

Combine like terms: 0.4a + -3.6a = -3.2a
0.2 + -3.2a = -7.8 + 3.6a + -3.6a

Combine like terms: 3.6a + -3.6a = 0.0
0.2 + -3.2a = -7.8 + 0.0
0.2 + -3.2a = -7.8

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -3.2a = -7.8 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -3.2a = -7.8 + -0.2
-3.2a = -7.8 + -0.2

Combine like terms: -7.8 + -0.2 = -8
-3.2a = -8

Divide each side by '-3.2'.
a = 2.5

Simplifying
a = 2.5

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