(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) * 0.4 + 36 = 45.2 + x + 4

Reorder the terms:
(-2 + X) * 0.4 + 36 = 45.2 + x + 4

Reorder the terms for easier multiplication:
0.4(-2 + X) + 36 = 45.2 + x + 4
(-2 * 0.4 + X * 0.4) + 36 = 45.2 + x + 4
(-0.8 + 0.4X) + 36 = 45.2 + x + 4

Reorder the terms:
-0.8 + 36 + 0.4X = 45.2 + x + 4

Combine like terms: -0.8 + 36 = 35.2
35.2 + 0.4X = 45.2 + x + 4

Reorder the terms:
35.2 + 0.4X = 45.2 + 4 + x

Combine like terms: 45.2 + 4 = 49.2
35.2 + 0.4X = 49.2 + x

Solving
35.2 + 0.4X = 49.2 + x

Solving for variable 'X'.

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

Add '-35.2' to each side of the equation.
35.2 + -35.2 + 0.4X = 49.2 + -35.2 + x

Combine like terms: 35.2 + -35.2 = 0.0
0.0 + 0.4X = 49.2 + -35.2 + x
0.4X = 49.2 + -35.2 + x

Combine like terms: 49.2 + -35.2 = 14
0.4X = 14 + x

Divide each side by '0.4'.
X = 35 + 2.5x

Simplifying
X = 35 + 2.5x

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