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

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


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

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

Remove parenthesis around (5 + 3a)
5 + 3a = -1(2a + -9)

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

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

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

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

Combine like terms: 9 + -5 = 4
5a = 4

Divide each side by '5'.
a = 0.8

Simplifying
a = 0.8

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