-X-(-13+4X)=-3(5-9X)+2

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Solution for -X-(-13+4X)=-3(5-9X)+2 equation: 


Simplifying
-1X + -1(-13 + 4X) = -3(5 + -9X) + 2
-1X + (-13 * -1 + 4X * -1) = -3(5 + -9X) + 2
-1X + (13 + -4X) = -3(5 + -9X) + 2

Reorder the terms:
13 + -1X + -4X = -3(5 + -9X) + 2

Combine like terms: -1X + -4X = -5X
13 + -5X = -3(5 + -9X) + 2
13 + -5X = (5 * -3 + -9X * -3) + 2
13 + -5X = (-15 + 27X) + 2

Reorder the terms:
13 + -5X = -15 + 2 + 27X

Combine like terms: -15 + 2 = -13
13 + -5X = -13 + 27X

Solving
13 + -5X = -13 + 27X

Solving for variable 'X'.

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

Add '-27X' to each side of the equation.
13 + -5X + -27X = -13 + 27X + -27X

Combine like terms: -5X + -27X = -32X
13 + -32X = -13 + 27X + -27X

Combine like terms: 27X + -27X = 0
13 + -32X = -13 + 0
13 + -32X = -13

Add '-13' to each side of the equation.
13 + -13 + -32X = -13 + -13

Combine like terms: 13 + -13 = 0
0 + -32X = -13 + -13
-32X = -13 + -13

Combine like terms: -13 + -13 = -26
-32X = -26

Divide each side by '-32'.
X = 0.8125

Simplifying
X = 0.8125

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