4(2c+8)=5*(c+4)

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Solution for 4(2c+8)=5*(c+4) equation: 


Simplifying
4(2c + 8) = 5(c + 4)

Reorder the terms:
4(8 + 2c) = 5(c + 4)
(8 * 4 + 2c * 4) = 5(c + 4)
(32 + 8c) = 5(c + 4)

Reorder the terms:
32 + 8c = 5(4 + c)
32 + 8c = (4 * 5 + c * 5)
32 + 8c = (20 + 5c)

Solving
32 + 8c = 20 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
32 + 8c + -5c = 20 + 5c + -5c

Combine like terms: 8c + -5c = 3c
32 + 3c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
32 + 3c = 20 + 0
32 + 3c = 20

Add '-32' to each side of the equation.
32 + -32 + 3c = 20 + -32

Combine like terms: 32 + -32 = 0
0 + 3c = 20 + -32
3c = 20 + -32

Combine like terms: 20 + -32 = -12
3c = -12

Divide each side by '3'.
c = -4

Simplifying
c = -4

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