.2(a+5)=.5(8-a)

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Solution for .2(a+5)=.5(8-a) equation:


Simplifying
0.2(a + 5) = 0.5(8 + -1a)

Reorder the terms:
0.2(5 + a) = 0.5(8 + -1a)
(5 * 0.2 + a * 0.2) = 0.5(8 + -1a)
(1 + 0.2a) = 0.5(8 + -1a)
1 + 0.2a = (8 * 0.5 + -1a * 0.5)
1 + 0.2a = (4 + -0.5a)

Solving
1 + 0.2a = 4 + -0.5a

Solving for variable 'a'.

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

Add '0.5a' to each side of the equation.
1 + 0.2a + 0.5a = 4 + -0.5a + 0.5a

Combine like terms: 0.2a + 0.5a = 0.7a
1 + 0.7a = 4 + -0.5a + 0.5a

Combine like terms: -0.5a + 0.5a = 0.0
1 + 0.7a = 4 + 0.0
1 + 0.7a = 4

Add '-1' to each side of the equation.
1 + -1 + 0.7a = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 0.7a = 4 + -1
0.7a = 4 + -1

Combine like terms: 4 + -1 = 3
0.7a = 3

Divide each side by '0.7'.
a = 4.285714286

Simplifying
a = 4.285714286

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