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

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


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

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

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

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

Combine like terms: 13 + -4 = 9
-5 + 5a = 9 + -2a

Solving
-5 + 5a = 9 + -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 = 9 + -2a + 2a

Combine like terms: 5a + 2a = 7a
-5 + 7a = 9 + -2a + 2a

Combine like terms: -2a + 2a = 0
-5 + 7a = 9 + 0
-5 + 7a = 9

Add '5' to each side of the equation.
-5 + 5 + 7a = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 7a = 9 + 5
7a = 9 + 5

Combine like terms: 9 + 5 = 14
7a = 14

Divide each side by '7'.
a = 2

Simplifying
a = 2

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