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

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


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

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

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

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

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

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

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

Combine like terms: 3a + -3a = 0
5 + -1a = -2 + 0
5 + -1a = -2

Add '-5' to each side of the equation.
5 + -5 + -1a = -2 + -5

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

Combine like terms: -2 + -5 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7

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