(3a+5)=2a-9

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


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

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

Remove parenthesis around (5 + 3a)
5 + 3a = 2a + -9

Reorder the terms:
5 + 3a = -9 + 2a

Solving
5 + 3a = -9 + 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 + 3a + -2a = -9 + 2a + -2a

Combine like terms: 3a + -2a = 1a
5 + 1a = -9 + 2a + -2a

Combine like terms: 2a + -2a = 0
5 + 1a = -9 + 0
5 + 1a = -9

Add '-5' to each side of the equation.
5 + -5 + 1a = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 1a = -9 + -5
1a = -9 + -5

Combine like terms: -9 + -5 = -14
1a = -14

Divide each side by '1'.
a = -14

Simplifying
a = -14

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