17a-5-7a=2a+19

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Solution for 17a-5-7a=2a+19 equation:


Simplifying
17a + -5 + -7a = 2a + 19

Reorder the terms:
-5 + 17a + -7a = 2a + 19

Combine like terms: 17a + -7a = 10a
-5 + 10a = 2a + 19

Reorder the terms:
-5 + 10a = 19 + 2a

Solving
-5 + 10a = 19 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-5 + 10a + -2a = 19 + 2a + -2a

Combine like terms: 10a + -2a = 8a
-5 + 8a = 19 + 2a + -2a

Combine like terms: 2a + -2a = 0
-5 + 8a = 19 + 0
-5 + 8a = 19

Add '5' to each side of the equation.
-5 + 5 + 8a = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 8a = 19 + 5
8a = 19 + 5

Combine like terms: 19 + 5 = 24
8a = 24

Divide each side by '8'.
a = 3

Simplifying
a = 3

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