2a-5=8a+1

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Solution for 2a-5=8a+1 equation:


Simplifying
2a + -5 = 8a + 1

Reorder the terms:
-5 + 2a = 8a + 1

Reorder the terms:
-5 + 2a = 1 + 8a

Solving
-5 + 2a = 1 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-5 + 2a + -8a = 1 + 8a + -8a

Combine like terms: 2a + -8a = -6a
-5 + -6a = 1 + 8a + -8a

Combine like terms: 8a + -8a = 0
-5 + -6a = 1 + 0
-5 + -6a = 1

Add '5' to each side of the equation.
-5 + 5 + -6a = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -6a = 1 + 5
-6a = 1 + 5

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

Divide each side by '-6'.
a = -1

Simplifying
a = -1

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