2a+6+3a+8=17a-10

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Solution for 2a+6+3a+8=17a-10 equation: 


Simplifying
2a + 6 + 3a + 8 = 17a + -10

Reorder the terms:
6 + 8 + 2a + 3a = 17a + -10

Combine like terms: 6 + 8 = 14
14 + 2a + 3a = 17a + -10

Combine like terms: 2a + 3a = 5a
14 + 5a = 17a + -10

Reorder the terms:
14 + 5a = -10 + 17a

Solving
14 + 5a = -10 + 17a

Solving for variable 'a'.

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

Add '-17a' to each side of the equation.
14 + 5a + -17a = -10 + 17a + -17a

Combine like terms: 5a + -17a = -12a
14 + -12a = -10 + 17a + -17a

Combine like terms: 17a + -17a = 0
14 + -12a = -10 + 0
14 + -12a = -10

Add '-14' to each side of the equation.
14 + -14 + -12a = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -12a = -10 + -14
-12a = -10 + -14

Combine like terms: -10 + -14 = -24
-12a = -24

Divide each side by '-12'.
a = 2

Simplifying
a = 2

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