3(2X-1)-4(X+4)=X-8

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Solution for 3(2X-1)-4(X+4)=X-8 equation: 


Simplifying
3(2X + -1) + -4(X + 4) = X + -8

Reorder the terms:
3(-1 + 2X) + -4(X + 4) = X + -8
(-1 * 3 + 2X * 3) + -4(X + 4) = X + -8
(-3 + 6X) + -4(X + 4) = X + -8

Reorder the terms:
-3 + 6X + -4(4 + X) = X + -8
-3 + 6X + (4 * -4 + X * -4) = X + -8
-3 + 6X + (-16 + -4X) = X + -8

Reorder the terms:
-3 + -16 + 6X + -4X = X + -8

Combine like terms: -3 + -16 = -19
-19 + 6X + -4X = X + -8

Combine like terms: 6X + -4X = 2X
-19 + 2X = X + -8

Reorder the terms:
-19 + 2X = -8 + X

Solving
-19 + 2X = -8 + 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.
-19 + 2X + -1X = -8 + X + -1X

Combine like terms: 2X + -1X = 1X
-19 + 1X = -8 + X + -1X

Combine like terms: X + -1X = 0
-19 + 1X = -8 + 0
-19 + 1X = -8

Add '19' to each side of the equation.
-19 + 19 + 1X = -8 + 19

Combine like terms: -19 + 19 = 0
0 + 1X = -8 + 19
1X = -8 + 19

Combine like terms: -8 + 19 = 11
1X = 11

Divide each side by '1'.
X = 11

Simplifying
X = 11

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