5a+3=3a-6

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


Simplifying
5a + 3 = 3a + -6

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

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

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

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

Combine like terms: 3a + -3a = 0
3 + 2a = -6 + 0
3 + 2a = -6

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

Combine like terms: 3 + -3 = 0
0 + 2a = -6 + -3
2a = -6 + -3

Combine like terms: -6 + -3 = -9
2a = -9

Divide each side by '2'.
a = -4.5

Simplifying
a = -4.5

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