2.8+3.2a=2.3a-(-9a+0.2)

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Solution for 2.8+3.2a=2.3a-(-9a+0.2) equation: 


Simplifying
2.8 + 3.2a = 2.3a + -1(-9a + 0.2)

Reorder the terms:
2.8 + 3.2a = 2.3a + -1(0.2 + -9a)
2.8 + 3.2a = 2.3a + (0.2 * -1 + -9a * -1)
2.8 + 3.2a = 2.3a + (-0.2 + 9a)

Reorder the terms:
2.8 + 3.2a = -0.2 + 2.3a + 9a

Combine like terms: 2.3a + 9a = 11.3a
2.8 + 3.2a = -0.2 + 11.3a

Solving
2.8 + 3.2a = -0.2 + 11.3a

Solving for variable 'a'.

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

Add '-11.3a' to each side of the equation.
2.8 + 3.2a + -11.3a = -0.2 + 11.3a + -11.3a

Combine like terms: 3.2a + -11.3a = -8.1a
2.8 + -8.1a = -0.2 + 11.3a + -11.3a

Combine like terms: 11.3a + -11.3a = 0.0
2.8 + -8.1a = -0.2 + 0.0
2.8 + -8.1a = -0.2

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -8.1a = -0.2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -8.1a = -0.2 + -2.8
-8.1a = -0.2 + -2.8

Combine like terms: -0.2 + -2.8 = -3
-8.1a = -3

Divide each side by '-8.1'.
a = 0.3703703704

Simplifying
a = 0.3703703704

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