0.5(a+13)=0.2(7a+9)

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Solution for 0.5(a+13)=0.2(7a+9) equation: 


Simplifying
0.5(a + 13) = 0.2(7a + 9)

Reorder the terms:
0.5(13 + a) = 0.2(7a + 9)
(13 * 0.5 + a * 0.5) = 0.2(7a + 9)
(6.5 + 0.5a) = 0.2(7a + 9)

Reorder the terms:
6.5 + 0.5a = 0.2(9 + 7a)
6.5 + 0.5a = (9 * 0.2 + 7a * 0.2)
6.5 + 0.5a = (1.8 + 1.4a)

Solving
6.5 + 0.5a = 1.8 + 1.4a

Solving for variable 'a'.

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

Add '-1.4a' to each side of the equation.
6.5 + 0.5a + -1.4a = 1.8 + 1.4a + -1.4a

Combine like terms: 0.5a + -1.4a = -0.9a
6.5 + -0.9a = 1.8 + 1.4a + -1.4a

Combine like terms: 1.4a + -1.4a = 0.0
6.5 + -0.9a = 1.8 + 0.0
6.5 + -0.9a = 1.8

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -0.9a = 1.8 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.9a = 1.8 + -6.5
-0.9a = 1.8 + -6.5

Combine like terms: 1.8 + -6.5 = -4.7
-0.9a = -4.7

Divide each side by '-0.9'.
a = 5.222222222

Simplifying
a = 5.222222222

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