(x+5)4=(3x)3

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Solution for (x+5)4=(3x)3 equation:


Simplifying
(x + 5) * 4 = (3x) * 3

Reorder the terms:
(5 + x) * 4 = (3x) * 3

Reorder the terms for easier multiplication:
4(5 + x) = (3x) * 3
(5 * 4 + x * 4) = (3x) * 3
(20 + 4x) = (3x) * 3

Remove parenthesis around (3x)
20 + 4x = 3x * 3

Reorder the terms for easier multiplication:
20 + 4x = 3 * 3x

Multiply 3 * 3
20 + 4x = 9x

Solving
20 + 4x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 4x + -9x = 9x + -9x

Combine like terms: 4x + -9x = -5x
20 + -5x = 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -5x = 0

Add '-20' to each side of the equation.
20 + -20 + -5x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 0 + -20
-5x = 0 + -20

Combine like terms: 0 + -20 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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