3(8-x)-(2x-14)-6=3-(5-4x)+7(2x-5)-4(x-3)

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Solution for 3(8-x)-(2x-14)-6=3-(5-4x)+7(2x-5)-4(x-3) equation: 


Simplifying
3(8 + -1x) + -1(2x + -14) + -6 = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)
(8 * 3 + -1x * 3) + -1(2x + -14) + -6 = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)
(24 + -3x) + -1(2x + -14) + -6 = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)

Reorder the terms:
24 + -3x + -1(-14 + 2x) + -6 = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)
24 + -3x + (-14 * -1 + 2x * -1) + -6 = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)
24 + -3x + (14 + -2x) + -6 = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)

Reorder the terms:
24 + 14 + -6 + -3x + -2x = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)

Combine like terms: 24 + 14 = 38
38 + -6 + -3x + -2x = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)

Combine like terms: 38 + -6 = 32
32 + -3x + -2x = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)

Combine like terms: -3x + -2x = -5x
32 + -5x = 3 + -1(5 + -4x) + 7(2x + -5) + -4(x + -3)
32 + -5x = 3 + (5 * -1 + -4x * -1) + 7(2x + -5) + -4(x + -3)
32 + -5x = 3 + (-5 + 4x) + 7(2x + -5) + -4(x + -3)

Reorder the terms:
32 + -5x = 3 + -5 + 4x + 7(-5 + 2x) + -4(x + -3)
32 + -5x = 3 + -5 + 4x + (-5 * 7 + 2x * 7) + -4(x + -3)
32 + -5x = 3 + -5 + 4x + (-35 + 14x) + -4(x + -3)

Reorder the terms:
32 + -5x = 3 + -5 + 4x + -35 + 14x + -4(-3 + x)
32 + -5x = 3 + -5 + 4x + -35 + 14x + (-3 * -4 + x * -4)
32 + -5x = 3 + -5 + 4x + -35 + 14x + (12 + -4x)

Reorder the terms:
32 + -5x = 3 + -5 + -35 + 12 + 4x + 14x + -4x

Combine like terms: 3 + -5 = -2
32 + -5x = -2 + -35 + 12 + 4x + 14x + -4x

Combine like terms: -2 + -35 = -37
32 + -5x = -37 + 12 + 4x + 14x + -4x

Combine like terms: -37 + 12 = -25
32 + -5x = -25 + 4x + 14x + -4x

Combine like terms: 4x + 14x = 18x
32 + -5x = -25 + 18x + -4x

Combine like terms: 18x + -4x = 14x
32 + -5x = -25 + 14x

Solving
32 + -5x = -25 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
32 + -5x + -14x = -25 + 14x + -14x

Combine like terms: -5x + -14x = -19x
32 + -19x = -25 + 14x + -14x

Combine like terms: 14x + -14x = 0
32 + -19x = -25 + 0
32 + -19x = -25

Add '-32' to each side of the equation.
32 + -32 + -19x = -25 + -32

Combine like terms: 32 + -32 = 0
0 + -19x = -25 + -32
-19x = -25 + -32

Combine like terms: -25 + -32 = -57
-19x = -57

Divide each side by '-19'.
x = 3

Simplifying
x = 3

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