(x-2)4+36=45.2+x+4

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Solution for (x-2)4+36=45.2+x+4 equation:


Simplifying
(x + -2) * 4 + 36 = 45.2 + x + 4

Reorder the terms:
(-2 + x) * 4 + 36 = 45.2 + x + 4

Reorder the terms for easier multiplication:
4(-2 + x) + 36 = 45.2 + x + 4
(-2 * 4 + x * 4) + 36 = 45.2 + x + 4
(-8 + 4x) + 36 = 45.2 + x + 4

Reorder the terms:
-8 + 36 + 4x = 45.2 + x + 4

Combine like terms: -8 + 36 = 28
28 + 4x = 45.2 + x + 4

Reorder the terms:
28 + 4x = 45.2 + 4 + x

Combine like terms: 45.2 + 4 = 49.2
28 + 4x = 49.2 + x

Solving
28 + 4x = 49.2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
28 + 4x + -1x = 49.2 + x + -1x

Combine like terms: 4x + -1x = 3x
28 + 3x = 49.2 + x + -1x

Combine like terms: x + -1x = 0
28 + 3x = 49.2 + 0
28 + 3x = 49.2

Add '-28' to each side of the equation.
28 + -28 + 3x = 49.2 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = 49.2 + -28
3x = 49.2 + -28

Combine like terms: 49.2 + -28 = 21.2
3x = 21.2

Divide each side by '3'.
x = 7.066666667

Simplifying
x = 7.066666667

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