5a+3=8a-2

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Solution for 5a+3=8a-2 equation:


Simplifying
5a + 3 = 8a + -2

Reorder the terms:
3 + 5a = 8a + -2

Reorder the terms:
3 + 5a = -2 + 8a

Solving
3 + 5a = -2 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
3 + 5a + -8a = -2 + 8a + -8a

Combine like terms: 5a + -8a = -3a
3 + -3a = -2 + 8a + -8a

Combine like terms: 8a + -8a = 0
3 + -3a = -2 + 0
3 + -3a = -2

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

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

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

Divide each side by '-3'.
a = 1.666666667

Simplifying
a = 1.666666667

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