(X-2)-2x-(1-5x)=45

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Solution for (X-2)-2x-(1-5x)=45 equation: 


Simplifying
(X + -2) + -2x + -1(1 + -5x) = 45

Reorder the terms:
(-2 + X) + -2x + -1(1 + -5x) = 45

Remove parenthesis around (-2 + X)
-2 + X + -2x + -1(1 + -5x) = 45
-2 + X + -2x + (1 * -1 + -5x * -1) = 45
-2 + X + -2x + (-1 + 5x) = 45

Reorder the terms:
-2 + -1 + X + -2x + 5x = 45

Combine like terms: -2 + -1 = -3
-3 + X + -2x + 5x = 45

Combine like terms: -2x + 5x = 3x
-3 + X + 3x = 45

Solving
-3 + X + 3x = 45

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X + 3 + 3x = 45 + 3

Reorder the terms:
-3 + 3 + X + 3x = 45 + 3

Combine like terms: -3 + 3 = 0
0 + X + 3x = 45 + 3
X + 3x = 45 + 3

Combine like terms: 45 + 3 = 48
X + 3x = 48

Add '-3x' to each side of the equation.
X + 3x + -3x = 48 + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 48 + -3x
X = 48 + -3x

Simplifying
X = 48 + -3x

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