(x+5)3+(x+3)5=1

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Solution for (x+5)3+(x+3)5=1 equation: 


Simplifying
(x + 5) * 3 + (x + 3) * 5 = 1

Reorder the terms:
(5 + x) * 3 + (x + 3) * 5 = 1

Reorder the terms for easier multiplication:
3(5 + x) + (x + 3) * 5 = 1
(5 * 3 + x * 3) + (x + 3) * 5 = 1
(15 + 3x) + (x + 3) * 5 = 1

Reorder the terms:
15 + 3x + (3 + x) * 5 = 1

Reorder the terms for easier multiplication:
15 + 3x + 5(3 + x) = 1
15 + 3x + (3 * 5 + x * 5) = 1
15 + 3x + (15 + 5x) = 1

Reorder the terms:
15 + 15 + 3x + 5x = 1

Combine like terms: 15 + 15 = 30
30 + 3x + 5x = 1

Combine like terms: 3x + 5x = 8x
30 + 8x = 1

Solving
30 + 8x = 1

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 8x = 1 + -30

Combine like terms: 30 + -30 = 0
0 + 8x = 1 + -30
8x = 1 + -30

Combine like terms: 1 + -30 = -29
8x = -29

Divide each side by '8'.
x = -3.625

Simplifying
x = -3.625

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