2a+6=5a-3

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


Simplifying
2a + 6 = 5a + -3

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

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

Solving
6 + 2a = -3 + 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.
6 + 2a + -5a = -3 + 5a + -5a

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

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

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

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

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

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

Simplifying
a = 3

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