5=(a+2)+3(a+4)

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Solution for 5=(a+2)+3(a+4) equation:


Simplifying
5 = (a + 2) + 3(a + 4)

Reorder the terms:
5 = (2 + a) + 3(a + 4)

Remove parenthesis around (2 + a)
5 = 2 + a + 3(a + 4)

Reorder the terms:
5 = 2 + a + 3(4 + a)
5 = 2 + a + (4 * 3 + a * 3)
5 = 2 + a + (12 + 3a)

Reorder the terms:
5 = 2 + 12 + a + 3a

Combine like terms: 2 + 12 = 14
5 = 14 + a + 3a

Combine like terms: a + 3a = 4a
5 = 14 + 4a

Solving
5 = 14 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
5 + -4a = 14 + 4a + -4a

Combine like terms: 4a + -4a = 0
5 + -4a = 14 + 0
5 + -4a = 14

Add '-5' to each side of the equation.
5 + -5 + -4a = 14 + -5

Combine like terms: 5 + -5 = 0
0 + -4a = 14 + -5
-4a = 14 + -5

Combine like terms: 14 + -5 = 9
-4a = 9

Divide each side by '-4'.
a = -2.25

Simplifying
a = -2.25

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