3a-5=5a-17

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Solution for 3a-5=5a-17 equation:


Simplifying
3a + -5 = 5a + -17

Reorder the terms:
-5 + 3a = 5a + -17

Reorder the terms:
-5 + 3a = -17 + 5a

Solving
-5 + 3a = -17 + 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.
-5 + 3a + -5a = -17 + 5a + -5a

Combine like terms: 3a + -5a = -2a
-5 + -2a = -17 + 5a + -5a

Combine like terms: 5a + -5a = 0
-5 + -2a = -17 + 0
-5 + -2a = -17

Add '5' to each side of the equation.
-5 + 5 + -2a = -17 + 5

Combine like terms: -5 + 5 = 0
0 + -2a = -17 + 5
-2a = -17 + 5

Combine like terms: -17 + 5 = -12
-2a = -12

Divide each side by '-2'.
a = 6

Simplifying
a = 6

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