3a+(2a-5)=12-3(a+2)

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Solution for 3a+(2a-5)=12-3(a+2) equation:


Simplifying
3a + (2a + -5) = 12 + -3(a + 2)

Reorder the terms:
3a + (-5 + 2a) = 12 + -3(a + 2)

Remove parenthesis around (-5 + 2a)
3a + -5 + 2a = 12 + -3(a + 2)

Reorder the terms:
-5 + 3a + 2a = 12 + -3(a + 2)

Combine like terms: 3a + 2a = 5a
-5 + 5a = 12 + -3(a + 2)

Reorder the terms:
-5 + 5a = 12 + -3(2 + a)
-5 + 5a = 12 + (2 * -3 + a * -3)
-5 + 5a = 12 + (-6 + -3a)

Combine like terms: 12 + -6 = 6
-5 + 5a = 6 + -3a

Solving
-5 + 5a = 6 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-5 + 5a + 3a = 6 + -3a + 3a

Combine like terms: 5a + 3a = 8a
-5 + 8a = 6 + -3a + 3a

Combine like terms: -3a + 3a = 0
-5 + 8a = 6 + 0
-5 + 8a = 6

Add '5' to each side of the equation.
-5 + 5 + 8a = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 8a = 6 + 5
8a = 6 + 5

Combine like terms: 6 + 5 = 11
8a = 11

Divide each side by '8'.
a = 1.375

Simplifying
a = 1.375

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