15-0.9(a-5)=0.8(12a-5)

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Solution for 15-0.9(a-5)=0.8(12a-5) equation: 


Simplifying
15 + -0.9(a + -5) = 0.8(12a + -5)

Reorder the terms:
15 + -0.9(-5 + a) = 0.8(12a + -5)
15 + (-5 * -0.9 + a * -0.9) = 0.8(12a + -5)
15 + (4.5 + -0.9a) = 0.8(12a + -5)

Combine like terms: 15 + 4.5 = 19.5
19.5 + -0.9a = 0.8(12a + -5)

Reorder the terms:
19.5 + -0.9a = 0.8(-5 + 12a)
19.5 + -0.9a = (-5 * 0.8 + 12a * 0.8)
19.5 + -0.9a = (-4 + 9.6a)

Solving
19.5 + -0.9a = -4 + 9.6a

Solving for variable 'a'.

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

Add '-9.6a' to each side of the equation.
19.5 + -0.9a + -9.6a = -4 + 9.6a + -9.6a

Combine like terms: -0.9a + -9.6a = -10.5a
19.5 + -10.5a = -4 + 9.6a + -9.6a

Combine like terms: 9.6a + -9.6a = 0.0
19.5 + -10.5a = -4 + 0.0
19.5 + -10.5a = -4

Add '-19.5' to each side of the equation.
19.5 + -19.5 + -10.5a = -4 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + -10.5a = -4 + -19.5
-10.5a = -4 + -19.5

Combine like terms: -4 + -19.5 = -23.5
-10.5a = -23.5

Divide each side by '-10.5'.
a = 2.238095238

Simplifying
a = 2.238095238

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