6a-2.5=a+6.5

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Solution for 6a-2.5=a+6.5 equation:


Simplifying
6a + -2.5 = a + 6.5

Reorder the terms:
-2.5 + 6a = a + 6.5

Reorder the terms:
-2.5 + 6a = 6.5 + a

Solving
-2.5 + 6a = 6.5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-2.5 + 6a + -1a = 6.5 + a + -1a

Combine like terms: 6a + -1a = 5a
-2.5 + 5a = 6.5 + a + -1a

Combine like terms: a + -1a = 0
-2.5 + 5a = 6.5 + 0
-2.5 + 5a = 6.5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 5a = 6.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 5a = 6.5 + 2.5
5a = 6.5 + 2.5

Combine like terms: 6.5 + 2.5 = 9
5a = 9

Divide each side by '5'.
a = 1.8

Simplifying
a = 1.8

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