5a+1=a+9

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Solution for 5a+1=a+9 equation:


Simplifying
5a + 1 = a + 9

Reorder the terms:
1 + 5a = a + 9

Reorder the terms:
1 + 5a = 9 + a

Solving
1 + 5a = 9 + 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.
1 + 5a + -1a = 9 + a + -1a

Combine like terms: 5a + -1a = 4a
1 + 4a = 9 + a + -1a

Combine like terms: a + -1a = 0
1 + 4a = 9 + 0
1 + 4a = 9

Add '-1' to each side of the equation.
1 + -1 + 4a = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 4a = 9 + -1
4a = 9 + -1

Combine like terms: 9 + -1 = 8
4a = 8

Divide each side by '4'.
a = 2

Simplifying
a = 2

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