5(a+2)+6=3(4-a)

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Solution for 5(a+2)+6=3(4-a) equation: 


Simplifying
5(a + 2) + 6 = 3(4 + -1a)

Reorder the terms:
5(2 + a) + 6 = 3(4 + -1a)
(2 * 5 + a * 5) + 6 = 3(4 + -1a)
(10 + 5a) + 6 = 3(4 + -1a)

Reorder the terms:
10 + 6 + 5a = 3(4 + -1a)

Combine like terms: 10 + 6 = 16
16 + 5a = 3(4 + -1a)
16 + 5a = (4 * 3 + -1a * 3)
16 + 5a = (12 + -3a)

Solving
16 + 5a = 12 + -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.
16 + 5a + 3a = 12 + -3a + 3a

Combine like terms: 5a + 3a = 8a
16 + 8a = 12 + -3a + 3a

Combine like terms: -3a + 3a = 0
16 + 8a = 12 + 0
16 + 8a = 12

Add '-16' to each side of the equation.
16 + -16 + 8a = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 8a = 12 + -16
8a = 12 + -16

Combine like terms: 12 + -16 = -4
8a = -4

Divide each side by '8'.
a = -0.5

Simplifying
a = -0.5

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