3a-5=-4a+17

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Solution for 3a-5=-4a+17 equation:


Simplifying
3a + -5 = -4a + 17

Reorder the terms:
-5 + 3a = -4a + 17

Reorder the terms:
-5 + 3a = 17 + -4a

Solving
-5 + 3a = 17 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
-5 + 3a + 4a = 17 + -4a + 4a

Combine like terms: 3a + 4a = 7a
-5 + 7a = 17 + -4a + 4a

Combine like terms: -4a + 4a = 0
-5 + 7a = 17 + 0
-5 + 7a = 17

Add '5' to each side of the equation.
-5 + 5 + 7a = 17 + 5

Combine like terms: -5 + 5 = 0
0 + 7a = 17 + 5
7a = 17 + 5

Combine like terms: 17 + 5 = 22
7a = 22

Divide each side by '7'.
a = 3.142857143

Simplifying
a = 3.142857143

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