2a-8=3a-16

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Solution for 2a-8=3a-16 equation:


Simplifying
2a + -8 = 3a + -16

Reorder the terms:
-8 + 2a = 3a + -16

Reorder the terms:
-8 + 2a = -16 + 3a

Solving
-8 + 2a = -16 + 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.
-8 + 2a + -3a = -16 + 3a + -3a

Combine like terms: 2a + -3a = -1a
-8 + -1a = -16 + 3a + -3a

Combine like terms: 3a + -3a = 0
-8 + -1a = -16 + 0
-8 + -1a = -16

Add '8' to each side of the equation.
-8 + 8 + -1a = -16 + 8

Combine like terms: -8 + 8 = 0
0 + -1a = -16 + 8
-1a = -16 + 8

Combine like terms: -16 + 8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8

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