2a+3=3a-5

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


Simplifying
2a + 3 = 3a + -5

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

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -1a = -5 + -3

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

Combine like terms: -5 + -3 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8

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