5(a+1)=8(a+4)

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Solution for 5(a+1)=8(a+4) equation:


Simplifying
5(a + 1) = 8(a + 4)

Reorder the terms:
5(1 + a) = 8(a + 4)
(1 * 5 + a * 5) = 8(a + 4)
(5 + 5a) = 8(a + 4)

Reorder the terms:
5 + 5a = 8(4 + a)
5 + 5a = (4 * 8 + a * 8)
5 + 5a = (32 + 8a)

Solving
5 + 5a = 32 + 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.
5 + 5a + -8a = 32 + 8a + -8a

Combine like terms: 5a + -8a = -3a
5 + -3a = 32 + 8a + -8a

Combine like terms: 8a + -8a = 0
5 + -3a = 32 + 0
5 + -3a = 32

Add '-5' to each side of the equation.
5 + -5 + -3a = 32 + -5

Combine like terms: 5 + -5 = 0
0 + -3a = 32 + -5
-3a = 32 + -5

Combine like terms: 32 + -5 = 27
-3a = 27

Divide each side by '-3'.
a = -9

Simplifying
a = -9

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