2a+8.9=5.4a-15.24

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Solution for 2a+8.9=5.4a-15.24 equation: 


Simplifying
2a + 8.9 = 5.4a + -15.24

Reorder the terms:
8.9 + 2a = 5.4a + -15.24

Reorder the terms:
8.9 + 2a = -15.24 + 5.4a

Solving
8.9 + 2a = -15.24 + 5.4a

Solving for variable 'a'.

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

Add '-5.4a' to each side of the equation.
8.9 + 2a + -5.4a = -15.24 + 5.4a + -5.4a

Combine like terms: 2a + -5.4a = -3.4a
8.9 + -3.4a = -15.24 + 5.4a + -5.4a

Combine like terms: 5.4a + -5.4a = 0.0
8.9 + -3.4a = -15.24 + 0.0
8.9 + -3.4a = -15.24

Add '-8.9' to each side of the equation.
8.9 + -8.9 + -3.4a = -15.24 + -8.9

Combine like terms: 8.9 + -8.9 = 0.0
0.0 + -3.4a = -15.24 + -8.9
-3.4a = -15.24 + -8.9

Combine like terms: -15.24 + -8.9 = -24.14
-3.4a = -24.14

Divide each side by '-3.4'.
a = 7.1

Simplifying
a = 7.1

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