2a+3=5a-6

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Solution for 2a+3=5a-6 equation:


Simplifying
2a + 3 = 5a + -6

Reorder the terms:
3 + 2a = 5a + -6

Reorder the terms:
3 + 2a = -6 + 5a

Solving
3 + 2a = -6 + 5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-5a' to each side of the equation.
3 + 2a + -5a = -6 + 5a + -5a

Combine like terms: 2a + -5a = -3a
3 + -3a = -6 + 5a + -5a

Combine like terms: 5a + -5a = 0
3 + -3a = -6 + 0
3 + -3a = -6

Add '-3' to each side of the equation.
3 + -3 + -3a = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -3a = -6 + -3
-3a = -6 + -3

Combine like terms: -6 + -3 = -9
-3a = -9

Divide each side by '-3'.
a = 3

Simplifying
a = 3

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