3a-5.5=-1.5a+12.5

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Solution for 3a-5.5=-1.5a+12.5 equation: 


Simplifying
3a + -5.5 = -1.5a + 12.5

Reorder the terms:
-5.5 + 3a = -1.5a + 12.5

Reorder the terms:
-5.5 + 3a = 12.5 + -1.5a

Solving
-5.5 + 3a = 12.5 + -1.5a

Solving for variable 'a'.

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

Add '1.5a' to each side of the equation.
-5.5 + 3a + 1.5a = 12.5 + -1.5a + 1.5a

Combine like terms: 3a + 1.5a = 4.5a
-5.5 + 4.5a = 12.5 + -1.5a + 1.5a

Combine like terms: -1.5a + 1.5a = 0.0
-5.5 + 4.5a = 12.5 + 0.0
-5.5 + 4.5a = 12.5

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 4.5a = 12.5 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 4.5a = 12.5 + 5.5
4.5a = 12.5 + 5.5

Combine like terms: 12.5 + 5.5 = 18
4.5a = 18

Divide each side by '4.5'.
a = 4

Simplifying
a = 4

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