3a+(2a-5)=20-2(a+2)

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Solution for 3a+(2a-5)=20-2(a+2) equation:


Simplifying
3a + (2a + -5) = 20 + -2(a + 2)

Reorder the terms:
3a + (-5 + 2a) = 20 + -2(a + 2)

Remove parenthesis around (-5 + 2a)
3a + -5 + 2a = 20 + -2(a + 2)

Reorder the terms:
-5 + 3a + 2a = 20 + -2(a + 2)

Combine like terms: 3a + 2a = 5a
-5 + 5a = 20 + -2(a + 2)

Reorder the terms:
-5 + 5a = 20 + -2(2 + a)
-5 + 5a = 20 + (2 * -2 + a * -2)
-5 + 5a = 20 + (-4 + -2a)

Combine like terms: 20 + -4 = 16
-5 + 5a = 16 + -2a

Solving
-5 + 5a = 16 + -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 = 16 + -2a + 2a

Combine like terms: 5a + 2a = 7a
-5 + 7a = 16 + -2a + 2a

Combine like terms: -2a + 2a = 0
-5 + 7a = 16 + 0
-5 + 7a = 16

Add '5' to each side of the equation.
-5 + 5 + 7a = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 7a = 16 + 5
7a = 16 + 5

Combine like terms: 16 + 5 = 21
7a = 21

Divide each side by '7'.
a = 3

Simplifying
a = 3

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