-(a-9)=3(a+5)+2

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Solution for -(a-9)=3(a+5)+2 equation: 


Simplifying
-1(a + -9) = 3(a + 5) + 2

Reorder the terms:
-1(-9 + a) = 3(a + 5) + 2
(-9 * -1 + a * -1) = 3(a + 5) + 2
(9 + -1a) = 3(a + 5) + 2

Reorder the terms:
9 + -1a = 3(5 + a) + 2
9 + -1a = (5 * 3 + a * 3) + 2
9 + -1a = (15 + 3a) + 2

Reorder the terms:
9 + -1a = 15 + 2 + 3a

Combine like terms: 15 + 2 = 17
9 + -1a = 17 + 3a

Solving
9 + -1a = 17 + 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.
9 + -1a + -3a = 17 + 3a + -3a

Combine like terms: -1a + -3a = -4a
9 + -4a = 17 + 3a + -3a

Combine like terms: 3a + -3a = 0
9 + -4a = 17 + 0
9 + -4a = 17

Add '-9' to each side of the equation.
9 + -9 + -4a = 17 + -9

Combine like terms: 9 + -9 = 0
0 + -4a = 17 + -9
-4a = 17 + -9

Combine like terms: 17 + -9 = 8
-4a = 8

Divide each side by '-4'.
a = -2

Simplifying
a = -2

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