0.2(a+2)=0.333333333(3-a)

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Solution for 0.2(a+2)=0.333333333(3-a) equation:


Simplifying
0.2(a + 2) = 0.333333333(3 + -1a)

Reorder the terms:
0.2(2 + a) = 0.333333333(3 + -1a)
(2 * 0.2 + a * 0.2) = 0.333333333(3 + -1a)
(0.4 + 0.2a) = 0.333333333(3 + -1a)
0.4 + 0.2a = (3 * 0.333333333 + -1a * 0.333333333)
0.4 + 0.2a = (0.999999999 + -0.333333333a)

Solving
0.4 + 0.2a = 0.999999999 + -0.333333333a

Solving for variable 'a'.

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

Add '0.333333333a' to each side of the equation.
0.4 + 0.2a + 0.333333333a = 0.999999999 + -0.333333333a + 0.333333333a

Combine like terms: 0.2a + 0.333333333a = 0.533333333a
0.4 + 0.533333333a = 0.999999999 + -0.333333333a + 0.333333333a

Combine like terms: -0.333333333a + 0.333333333a = 0.000000000
0.4 + 0.533333333a = 0.999999999 + 0.000000000
0.4 + 0.533333333a = 0.999999999

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.533333333a = 0.999999999 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.533333333a = 0.999999999 + -0.4
0.533333333a = 0.999999999 + -0.4

Combine like terms: 0.999999999 + -0.4 = 0.599999999
0.533333333a = 0.599999999

Divide each side by '0.533333333'.
a = 1.124999999

Simplifying
a = 1.124999999

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