10-X-(2+4X)=90-4X+X

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Solution for 10-X-(2+4X)=90-4X+X equation: 


Simplifying
10 + -1X + -1(2 + 4X) = 90 + -4X + X
10 + -1X + (2 * -1 + 4X * -1) = 90 + -4X + X
10 + -1X + (-2 + -4X) = 90 + -4X + X

Reorder the terms:
10 + -2 + -1X + -4X = 90 + -4X + X

Combine like terms: 10 + -2 = 8
8 + -1X + -4X = 90 + -4X + X

Combine like terms: -1X + -4X = -5X
8 + -5X = 90 + -4X + X

Combine like terms: -4X + X = -3X
8 + -5X = 90 + -3X

Solving
8 + -5X = 90 + -3X

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
8 + -5X + 3X = 90 + -3X + 3X

Combine like terms: -5X + 3X = -2X
8 + -2X = 90 + -3X + 3X

Combine like terms: -3X + 3X = 0
8 + -2X = 90 + 0
8 + -2X = 90

Add '-8' to each side of the equation.
8 + -8 + -2X = 90 + -8

Combine like terms: 8 + -8 = 0
0 + -2X = 90 + -8
-2X = 90 + -8

Combine like terms: 90 + -8 = 82
-2X = 82

Divide each side by '-2'.
X = -41

Simplifying
X = -41

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