3a+8=a+19

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Solution for 3a+8=a+19 equation:


Simplifying
3a + 8 = a + 19

Reorder the terms:
8 + 3a = a + 19

Reorder the terms:
8 + 3a = 19 + a

Solving
8 + 3a = 19 + 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.
8 + 3a + -1a = 19 + a + -1a

Combine like terms: 3a + -1a = 2a
8 + 2a = 19 + a + -1a

Combine like terms: a + -1a = 0
8 + 2a = 19 + 0
8 + 2a = 19

Add '-8' to each side of the equation.
8 + -8 + 2a = 19 + -8

Combine like terms: 8 + -8 = 0
0 + 2a = 19 + -8
2a = 19 + -8

Combine like terms: 19 + -8 = 11
2a = 11

Divide each side by '2'.
a = 5.5

Simplifying
a = 5.5

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