3a+(2a-5)+2(9+2)=13

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Solution for 3a+(2a-5)+2(9+2)=13 equation:


Simplifying
3a + (2a + -5) + 2(9 + 2) = 13

Reorder the terms:
3a + (-5 + 2a) + 2(9 + 2) = 13

Remove parenthesis around (-5 + 2a)
3a + -5 + 2a + 2(9 + 2) = 13

Combine like terms: 9 + 2 = 11
3a + -5 + 2a + 2(11) = 13

Multiply 2 * 11
3a + -5 + 2a + 22 = 13

Reorder the terms:
-5 + 22 + 3a + 2a = 13

Combine like terms: -5 + 22 = 17
17 + 3a + 2a = 13

Combine like terms: 3a + 2a = 5a
17 + 5a = 13

Solving
17 + 5a = 13

Solving for variable 'a'.

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

Add '-17' to each side of the equation.
17 + -17 + 5a = 13 + -17

Combine like terms: 17 + -17 = 0
0 + 5a = 13 + -17
5a = 13 + -17

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

Divide each side by '5'.
a = -0.8

Simplifying
a = -0.8

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