.3(a-8)=.2(a+4)

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Solution for .3(a-8)=.2(a+4) equation: 


Simplifying
0.3(a + -8) = 0.2(a + 4)

Reorder the terms:
0.3(-8 + a) = 0.2(a + 4)
(-8 * 0.3 + a * 0.3) = 0.2(a + 4)
(-2.4 + 0.3a) = 0.2(a + 4)

Reorder the terms:
-2.4 + 0.3a = 0.2(4 + a)
-2.4 + 0.3a = (4 * 0.2 + a * 0.2)
-2.4 + 0.3a = (0.8 + 0.2a)

Solving
-2.4 + 0.3a = 0.8 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
-2.4 + 0.3a + -0.2a = 0.8 + 0.2a + -0.2a

Combine like terms: 0.3a + -0.2a = 0.1a
-2.4 + 0.1a = 0.8 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
-2.4 + 0.1a = 0.8 + 0.0
-2.4 + 0.1a = 0.8

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 0.1a = 0.8 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 0.1a = 0.8 + 2.4
0.1a = 0.8 + 2.4

Combine like terms: 0.8 + 2.4 = 3.2
0.1a = 3.2

Divide each side by '0.1'.
a = 32

Simplifying
a = 32

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