3a+2a-5=13-2a-2

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


Simplifying
3a + 2a + -5 = 13 + -2a + -2

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

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

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

Combine like terms: 13 + -2 = 11
-5 + 5a = 11 + -2a

Solving
-5 + 5a = 11 + -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 = 11 + -2a + 2a

Combine like terms: 5a + 2a = 7a
-5 + 7a = 11 + -2a + 2a

Combine like terms: -2a + 2a = 0
-5 + 7a = 11 + 0
-5 + 7a = 11

Add '5' to each side of the equation.
-5 + 5 + 7a = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 7a = 11 + 5
7a = 11 + 5

Combine like terms: 11 + 5 = 16
7a = 16

Divide each side by '7'.
a = 2.285714286

Simplifying
a = 2.285714286

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