2a+1=8a-4

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Solution for 2a+1=8a-4 equation:


Simplifying
2a + 1 = 8a + -4

Reorder the terms:
1 + 2a = 8a + -4

Reorder the terms:
1 + 2a = -4 + 8a

Solving
1 + 2a = -4 + 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.
1 + 2a + -8a = -4 + 8a + -8a

Combine like terms: 2a + -8a = -6a
1 + -6a = -4 + 8a + -8a

Combine like terms: 8a + -8a = 0
1 + -6a = -4 + 0
1 + -6a = -4

Add '-1' to each side of the equation.
1 + -1 + -6a = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -6a = -4 + -1
-6a = -4 + -1

Combine like terms: -4 + -1 = -5
-6a = -5

Divide each side by '-6'.
a = 0.8333333333

Simplifying
a = 0.8333333333

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