17a-5(a+1)=3(a+2)

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Solution for 17a-5(a+1)=3(a+2) equation:


Simplifying
17a + -5(a + 1) = 3(a + 2)

Reorder the terms:
17a + -5(1 + a) = 3(a + 2)
17a + (1 * -5 + a * -5) = 3(a + 2)
17a + (-5 + -5a) = 3(a + 2)

Reorder the terms:
-5 + 17a + -5a = 3(a + 2)

Combine like terms: 17a + -5a = 12a
-5 + 12a = 3(a + 2)

Reorder the terms:
-5 + 12a = 3(2 + a)
-5 + 12a = (2 * 3 + a * 3)
-5 + 12a = (6 + 3a)

Solving
-5 + 12a = 6 + 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.
-5 + 12a + -3a = 6 + 3a + -3a

Combine like terms: 12a + -3a = 9a
-5 + 9a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-5 + 9a = 6 + 0
-5 + 9a = 6

Add '5' to each side of the equation.
-5 + 5 + 9a = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 9a = 6 + 5
9a = 6 + 5

Combine like terms: 6 + 5 = 11
9a = 11

Divide each side by '9'.
a = 1.222222222

Simplifying
a = 1.222222222

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