5+3(a+4)=2(a+1)

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Solution for 5+3(a+4)=2(a+1) equation:


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

Reorder the terms:
5 + 3(4 + a) = 2(a + 1)
5 + (4 * 3 + a * 3) = 2(a + 1)
5 + (12 + 3a) = 2(a + 1)

Combine like terms: 5 + 12 = 17
17 + 3a = 2(a + 1)

Reorder the terms:
17 + 3a = 2(1 + a)
17 + 3a = (1 * 2 + a * 2)
17 + 3a = (2 + 2a)

Solving
17 + 3a = 2 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
17 + 3a + -2a = 2 + 2a + -2a

Combine like terms: 3a + -2a = 1a
17 + 1a = 2 + 2a + -2a

Combine like terms: 2a + -2a = 0
17 + 1a = 2 + 0
17 + 1a = 2

Add '-17' to each side of the equation.
17 + -17 + 1a = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 1a = 2 + -17
1a = 2 + -17

Combine like terms: 2 + -17 = -15
1a = -15

Divide each side by '1'.
a = -15

Simplifying
a = -15

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