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

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


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

Reorder the terms:
3(4 + 2a) + (5 + -2a) = 3(4a + 5) + -4(a + 5)
(4 * 3 + 2a * 3) + (5 + -2a) = 3(4a + 5) + -4(a + 5)
(12 + 6a) + (5 + -2a) = 3(4a + 5) + -4(a + 5)

Remove parenthesis around (5 + -2a)
12 + 6a + 5 + -2a = 3(4a + 5) + -4(a + 5)

Reorder the terms:
12 + 5 + 6a + -2a = 3(4a + 5) + -4(a + 5)

Combine like terms: 12 + 5 = 17
17 + 6a + -2a = 3(4a + 5) + -4(a + 5)

Combine like terms: 6a + -2a = 4a
17 + 4a = 3(4a + 5) + -4(a + 5)

Reorder the terms:
17 + 4a = 3(5 + 4a) + -4(a + 5)
17 + 4a = (5 * 3 + 4a * 3) + -4(a + 5)
17 + 4a = (15 + 12a) + -4(a + 5)

Reorder the terms:
17 + 4a = 15 + 12a + -4(5 + a)
17 + 4a = 15 + 12a + (5 * -4 + a * -4)
17 + 4a = 15 + 12a + (-20 + -4a)

Reorder the terms:
17 + 4a = 15 + -20 + 12a + -4a

Combine like terms: 15 + -20 = -5
17 + 4a = -5 + 12a + -4a

Combine like terms: 12a + -4a = 8a
17 + 4a = -5 + 8a

Solving
17 + 4a = -5 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
17 + 4a + -8a = -5 + 8a + -8a

Combine like terms: 4a + -8a = -4a
17 + -4a = -5 + 8a + -8a

Combine like terms: 8a + -8a = 0
17 + -4a = -5 + 0
17 + -4a = -5

Add '-17' to each side of the equation.
17 + -17 + -4a = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -4a = -5 + -17
-4a = -5 + -17

Combine like terms: -5 + -17 = -22
-4a = -22

Divide each side by '-4'.
a = 5.5

Simplifying
a = 5.5

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