8[4-5(a-5)]=8(5-4a)

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Solution for 8[4-5(a-5)]=8(5-4a) equation:


Simplifying
8[4 + -5(a + -5)] = 8(5 + -4a)

Reorder the terms:
8[4 + -5(-5 + a)] = 8(5 + -4a)
8[4 + (-5 * -5 + a * -5)] = 8(5 + -4a)
8[4 + (25 + -5a)] = 8(5 + -4a)

Combine like terms: 4 + 25 = 29
8[29 + -5a] = 8(5 + -4a)
[29 * 8 + -5a * 8] = 8(5 + -4a)
[232 + -40a] = 8(5 + -4a)
232 + -40a = (5 * 8 + -4a * 8)
232 + -40a = (40 + -32a)

Solving
232 + -40a = 40 + -32a

Solving for variable 'a'.

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

Add '32a' to each side of the equation.
232 + -40a + 32a = 40 + -32a + 32a

Combine like terms: -40a + 32a = -8a
232 + -8a = 40 + -32a + 32a

Combine like terms: -32a + 32a = 0
232 + -8a = 40 + 0
232 + -8a = 40

Add '-232' to each side of the equation.
232 + -232 + -8a = 40 + -232

Combine like terms: 232 + -232 = 0
0 + -8a = 40 + -232
-8a = 40 + -232

Combine like terms: 40 + -232 = -192
-8a = -192

Divide each side by '-8'.
a = 24

Simplifying
a = 24

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