5a+3=6a-2

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


Simplifying
5a + 3 = 6a + -2

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

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

Solving
3 + 5a = -2 + 6a

Solving for variable 'a'.

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

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

Combine like terms: 5a + -6a = -1a
3 + -1a = -2 + 6a + -6a

Combine like terms: 6a + -6a = 0
3 + -1a = -2 + 0
3 + -1a = -2

Add '-3' to each side of the equation.
3 + -3 + -1a = -2 + -3

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

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

Divide each side by '-1'.
a = 5

Simplifying
a = 5

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