2a-3=5a-8

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


Simplifying
2a + -3 = 5a + -8

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

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

Solving
-3 + 2a = -8 + 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 = -8 + 5a + -5a

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

Combine like terms: 5a + -5a = 0
-3 + -3a = -8 + 0
-3 + -3a = -8

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

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

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

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

Simplifying
a = 1.666666667

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