0.5(a+1.3)=0.2(2a+9)

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Solution for 0.5(a+1.3)=0.2(2a+9) equation:


Simplifying
0.5(a + 1.3) = 0.2(2a + 9)

Reorder the terms:
0.5(1.3 + a) = 0.2(2a + 9)
(1.3 * 0.5 + a * 0.5) = 0.2(2a + 9)
(0.65 + 0.5a) = 0.2(2a + 9)

Reorder the terms:
0.65 + 0.5a = 0.2(9 + 2a)
0.65 + 0.5a = (9 * 0.2 + 2a * 0.2)
0.65 + 0.5a = (1.8 + 0.4a)

Solving
0.65 + 0.5a = 1.8 + 0.4a

Solving for variable 'a'.

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

Add '-0.4a' to each side of the equation.
0.65 + 0.5a + -0.4a = 1.8 + 0.4a + -0.4a

Combine like terms: 0.5a + -0.4a = 0.1a
0.65 + 0.1a = 1.8 + 0.4a + -0.4a

Combine like terms: 0.4a + -0.4a = 0.0
0.65 + 0.1a = 1.8 + 0.0
0.65 + 0.1a = 1.8

Add '-0.65' to each side of the equation.
0.65 + -0.65 + 0.1a = 1.8 + -0.65

Combine like terms: 0.65 + -0.65 = 0.00
0.00 + 0.1a = 1.8 + -0.65
0.1a = 1.8 + -0.65

Combine like terms: 1.8 + -0.65 = 1.15
0.1a = 1.15

Divide each side by '0.1'.
a = 11.5

Simplifying
a = 11.5

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