3(X-4)-4(5X+2)=X-20

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Solution for 3(X-4)-4(5X+2)=X-20 equation: 


Simplifying
3(X + -4) + -4(5X + 2) = X + -20

Reorder the terms:
3(-4 + X) + -4(5X + 2) = X + -20
(-4 * 3 + X * 3) + -4(5X + 2) = X + -20
(-12 + 3X) + -4(5X + 2) = X + -20

Reorder the terms:
-12 + 3X + -4(2 + 5X) = X + -20
-12 + 3X + (2 * -4 + 5X * -4) = X + -20
-12 + 3X + (-8 + -20X) = X + -20

Reorder the terms:
-12 + -8 + 3X + -20X = X + -20

Combine like terms: -12 + -8 = -20
-20 + 3X + -20X = X + -20

Combine like terms: 3X + -20X = -17X
-20 + -17X = X + -20

Reorder the terms:
-20 + -17X = -20 + X

Add '20' to each side of the equation.
-20 + 20 + -17X = -20 + 20 + X

Combine like terms: -20 + 20 = 0
0 + -17X = -20 + 20 + X
-17X = -20 + 20 + X

Combine like terms: -20 + 20 = 0
-17X = 0 + X
-17X = X

Solving
-17X = 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.
-17X + -1X = X + -1X

Combine like terms: -17X + -1X = -18X
-18X = X + -1X

Combine like terms: X + -1X = 0
-18X = 0

Divide each side by '-18'.
X = 0

Simplifying
X = 0

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