3a+(2a-5)=13-2a+4

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Solution for 3a+(2a-5)=13-2a+4 equation:


Simplifying
3a + (2a + -5) = 13 + -2a + 4

Reorder the terms:
3a + (-5 + 2a) = 13 + -2a + 4

Remove parenthesis around (-5 + 2a)
3a + -5 + 2a = 13 + -2a + 4

Reorder the terms:
-5 + 3a + 2a = 13 + -2a + 4

Combine like terms: 3a + 2a = 5a
-5 + 5a = 13 + -2a + 4

Reorder the terms:
-5 + 5a = 13 + 4 + -2a

Combine like terms: 13 + 4 = 17
-5 + 5a = 17 + -2a

Solving
-5 + 5a = 17 + -2a

Solving for variable 'a'.

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

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

Combine like terms: 5a + 2a = 7a
-5 + 7a = 17 + -2a + 2a

Combine like terms: -2a + 2a = 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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