2(X-5)+3(2-2x)-4(9x+1)=11-4(X+2)-3x+3(x-4)

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Solution for 2(X-5)+3(2-2x)-4(9x+1)=11-4(X+2)-3x+3(x-4) equation: 


Simplifying
2(X + -5) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4)

Reorder the terms:
2(-5 + X) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4)
(-5 * 2 + X * 2) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4)
(-10 + 2X) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4)
-10 + 2X + (2 * 3 + -2x * 3) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4)
-10 + 2X + (6 + -6x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4)

Reorder the terms:
-10 + 2X + 6 + -6x + -4(1 + 9x) = 11 + -4(X + 2) + -3x + 3(x + -4)
-10 + 2X + 6 + -6x + (1 * -4 + 9x * -4) = 11 + -4(X + 2) + -3x + 3(x + -4)
-10 + 2X + 6 + -6x + (-4 + -36x) = 11 + -4(X + 2) + -3x + 3(x + -4)

Reorder the terms:
-10 + 6 + -4 + 2X + -6x + -36x = 11 + -4(X + 2) + -3x + 3(x + -4)

Combine like terms: -10 + 6 = -4
-4 + -4 + 2X + -6x + -36x = 11 + -4(X + 2) + -3x + 3(x + -4)

Combine like terms: -4 + -4 = -8
-8 + 2X + -6x + -36x = 11 + -4(X + 2) + -3x + 3(x + -4)

Combine like terms: -6x + -36x = -42x
-8 + 2X + -42x = 11 + -4(X + 2) + -3x + 3(x + -4)

Reorder the terms:
-8 + 2X + -42x = 11 + -4(2 + X) + -3x + 3(x + -4)
-8 + 2X + -42x = 11 + (2 * -4 + X * -4) + -3x + 3(x + -4)
-8 + 2X + -42x = 11 + (-8 + -4X) + -3x + 3(x + -4)

Reorder the terms:
-8 + 2X + -42x = 11 + -8 + -4X + -3x + 3(-4 + x)
-8 + 2X + -42x = 11 + -8 + -4X + -3x + (-4 * 3 + x * 3)
-8 + 2X + -42x = 11 + -8 + -4X + -3x + (-12 + 3x)

Reorder the terms:
-8 + 2X + -42x = 11 + -8 + -12 + -4X + -3x + 3x

Combine like terms: 11 + -8 = 3
-8 + 2X + -42x = 3 + -12 + -4X + -3x + 3x

Combine like terms: 3 + -12 = -9
-8 + 2X + -42x = -9 + -4X + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 2X + -42x = -9 + -4X + 0
-8 + 2X + -42x = -9 + -4X

Solving
-8 + 2X + -42x = -9 + -4X

Solving for variable 'X'.

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

Add '4X' to each side of the equation.
-8 + 2X + 4X + -42x = -9 + -4X + 4X

Combine like terms: 2X + 4X = 6X
-8 + 6X + -42x = -9 + -4X + 4X

Combine like terms: -4X + 4X = 0
-8 + 6X + -42x = -9 + 0
-8 + 6X + -42x = -9

Add '8' to each side of the equation.
-8 + 6X + 8 + -42x = -9 + 8

Reorder the terms:
-8 + 8 + 6X + -42x = -9 + 8

Combine like terms: -8 + 8 = 0
0 + 6X + -42x = -9 + 8
6X + -42x = -9 + 8

Combine like terms: -9 + 8 = -1
6X + -42x = -1

Add '42x' to each side of the equation.
6X + -42x + 42x = -1 + 42x

Combine like terms: -42x + 42x = 0
6X + 0 = -1 + 42x
6X = -1 + 42x

Divide each side by '6'.
X = -0.1666666667 + 7x

Simplifying
X = -0.1666666667 + 7x

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