(4x-1)4=(3x+1)5

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Solution for (4x-1)4=(3x+1)5 equation:


Simplifying
(4x + -1) * 4 = (3x + 1) * 5

Reorder the terms:
(-1 + 4x) * 4 = (3x + 1) * 5

Reorder the terms for easier multiplication:
4(-1 + 4x) = (3x + 1) * 5
(-1 * 4 + 4x * 4) = (3x + 1) * 5
(-4 + 16x) = (3x + 1) * 5

Reorder the terms:
-4 + 16x = (1 + 3x) * 5

Reorder the terms for easier multiplication:
-4 + 16x = 5(1 + 3x)
-4 + 16x = (1 * 5 + 3x * 5)
-4 + 16x = (5 + 15x)

Solving
-4 + 16x = 5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-4 + 16x + -15x = 5 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-4 + 1x = 5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-4 + 1x = 5 + 0
-4 + 1x = 5

Add '4' to each side of the equation.
-4 + 4 + 1x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 5 + 4
1x = 5 + 4

Combine like terms: 5 + 4 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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