11x+4-5x+4(x+4)=8(3x-5+4)+2-14x+x

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Solution for 11x+4-5x+4(x+4)=8(3x-5+4)+2-14x+x equation: 


Simplifying
11x + 4 + -5x + 4(x + 4) = 8(3x + -5 + 4) + 2 + -14x + x

Reorder the terms:
11x + 4 + -5x + 4(4 + x) = 8(3x + -5 + 4) + 2 + -14x + x
11x + 4 + -5x + (4 * 4 + x * 4) = 8(3x + -5 + 4) + 2 + -14x + x
11x + 4 + -5x + (16 + 4x) = 8(3x + -5 + 4) + 2 + -14x + x

Reorder the terms:
4 + 16 + 11x + -5x + 4x = 8(3x + -5 + 4) + 2 + -14x + x

Combine like terms: 4 + 16 = 20
20 + 11x + -5x + 4x = 8(3x + -5 + 4) + 2 + -14x + x

Combine like terms: 11x + -5x = 6x
20 + 6x + 4x = 8(3x + -5 + 4) + 2 + -14x + x

Combine like terms: 6x + 4x = 10x
20 + 10x = 8(3x + -5 + 4) + 2 + -14x + x

Reorder the terms:
20 + 10x = 8(-5 + 4 + 3x) + 2 + -14x + x

Combine like terms: -5 + 4 = -1
20 + 10x = 8(-1 + 3x) + 2 + -14x + x
20 + 10x = (-1 * 8 + 3x * 8) + 2 + -14x + x
20 + 10x = (-8 + 24x) + 2 + -14x + x

Reorder the terms:
20 + 10x = -8 + 2 + 24x + -14x + x

Combine like terms: -8 + 2 = -6
20 + 10x = -6 + 24x + -14x + x

Combine like terms: 24x + -14x = 10x
20 + 10x = -6 + 10x + x

Combine like terms: 10x + x = 11x
20 + 10x = -6 + 11x

Solving
20 + 10x = -6 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
20 + 10x + -11x = -6 + 11x + -11x

Combine like terms: 10x + -11x = -1x
20 + -1x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
20 + -1x = -6 + 0
20 + -1x = -6

Add '-20' to each side of the equation.
20 + -20 + -1x = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -6 + -20
-1x = -6 + -20

Combine like terms: -6 + -20 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26

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