17=3(a-5)+8

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Solution for 17=3(a-5)+8 equation: 


Simplifying
17 = 3(a + -5) + 8

Reorder the terms:
17 = 3(-5 + a) + 8
17 = (-5 * 3 + a * 3) + 8
17 = (-15 + 3a) + 8

Reorder the terms:
17 = -15 + 8 + 3a

Combine like terms: -15 + 8 = -7
17 = -7 + 3a

Solving
17 = -7 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
17 + -3a = -7 + 3a + -3a

Combine like terms: 3a + -3a = 0
17 + -3a = -7 + 0
17 + -3a = -7

Add '-17' to each side of the equation.
17 + -17 + -3a = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -3a = -7 + -17
-3a = -7 + -17

Combine like terms: -7 + -17 = -24
-3a = -24

Divide each side by '-3'.
a = 8

Simplifying
a = 8

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