(4a+5)=(2a-3)

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Solution for (4a+5)=(2a-3) equation:


Simplifying
(4a + 5) = (2a + -3)

Reorder the terms:
(5 + 4a) = (2a + -3)

Remove parenthesis around (5 + 4a)
5 + 4a = (2a + -3)

Reorder the terms:
5 + 4a = (-3 + 2a)

Remove parenthesis around (-3 + 2a)
5 + 4a = -3 + 2a

Solving
5 + 4a = -3 + 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 + 4a + -2a = -3 + 2a + -2a

Combine like terms: 4a + -2a = 2a
5 + 2a = -3 + 2a + -2a

Combine like terms: 2a + -2a = 0
5 + 2a = -3 + 0
5 + 2a = -3

Add '-5' to each side of the equation.
5 + -5 + 2a = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = -3 + -5
2a = -3 + -5

Combine like terms: -3 + -5 = -8
2a = -8

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

Simplifying
a = -4

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