a-5+7a=2a-17

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


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

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

Combine like terms: a + 7a = 8a
-5 + 8a = 2a + -17

Reorder the terms:
-5 + 8a = -17 + 2a

Solving
-5 + 8a = -17 + 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 + 8a + -2a = -17 + 2a + -2a

Combine like terms: 8a + -2a = 6a
-5 + 6a = -17 + 2a + -2a

Combine like terms: 2a + -2a = 0
-5 + 6a = -17 + 0
-5 + 6a = -17

Add '5' to each side of the equation.
-5 + 5 + 6a = -17 + 5

Combine like terms: -5 + 5 = 0
0 + 6a = -17 + 5
6a = -17 + 5

Combine like terms: -17 + 5 = -12
6a = -12

Divide each side by '6'.
a = -2

Simplifying
a = -2

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