2a+8=3+5(a+4)

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Solution for 2a+8=3+5(a+4) equation:


Simplifying
2a + 8 = 3 + 5(a + 4)

Reorder the terms:
8 + 2a = 3 + 5(a + 4)

Reorder the terms:
8 + 2a = 3 + 5(4 + a)
8 + 2a = 3 + (4 * 5 + a * 5)
8 + 2a = 3 + (20 + 5a)

Combine like terms: 3 + 20 = 23
8 + 2a = 23 + 5a

Solving
8 + 2a = 23 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
8 + 2a + -5a = 23 + 5a + -5a

Combine like terms: 2a + -5a = -3a
8 + -3a = 23 + 5a + -5a

Combine like terms: 5a + -5a = 0
8 + -3a = 23 + 0
8 + -3a = 23

Add '-8' to each side of the equation.
8 + -8 + -3a = 23 + -8

Combine like terms: 8 + -8 = 0
0 + -3a = 23 + -8
-3a = 23 + -8

Combine like terms: 23 + -8 = 15
-3a = 15

Divide each side by '-3'.
a = -5

Simplifying
a = -5

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