(2x)4=(5x+8)2

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


Simplifying
(2x) * 4 = (5x + 8) * 2

Remove parenthesis around (2x)
2x * 4 = (5x + 8) * 2

Reorder the terms for easier multiplication:
2 * 4x = (5x + 8) * 2

Multiply 2 * 4
8x = (5x + 8) * 2

Reorder the terms:
8x = (8 + 5x) * 2

Reorder the terms for easier multiplication:
8x = 2(8 + 5x)
8x = (8 * 2 + 5x * 2)
8x = (16 + 10x)

Solving
8x = 16 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8x + -10x = 16 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-2x = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2x = 16 + 0
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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