2x-4-(x+1)-3(x-2)=6(2x-3)-3(6x-1)-8

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Solution for 2x-4-(x+1)-3(x-2)=6(2x-3)-3(6x-1)-8 equation: 


Simplifying
2x + -4 + -1(x + 1) + -3(x + -2) = 6(2x + -3) + -3(6x + -1) + -8

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

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

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

Combine like terms: -4 + -1 = -5
-5 + 6 + 2x + -1x + -3x = 6(2x + -3) + -3(6x + -1) + -8

Combine like terms: -5 + 6 = 1
1 + 2x + -1x + -3x = 6(2x + -3) + -3(6x + -1) + -8

Combine like terms: 2x + -1x = 1x
1 + 1x + -3x = 6(2x + -3) + -3(6x + -1) + -8

Combine like terms: 1x + -3x = -2x
1 + -2x = 6(2x + -3) + -3(6x + -1) + -8

Reorder the terms:
1 + -2x = 6(-3 + 2x) + -3(6x + -1) + -8
1 + -2x = (-3 * 6 + 2x * 6) + -3(6x + -1) + -8
1 + -2x = (-18 + 12x) + -3(6x + -1) + -8

Reorder the terms:
1 + -2x = -18 + 12x + -3(-1 + 6x) + -8
1 + -2x = -18 + 12x + (-1 * -3 + 6x * -3) + -8
1 + -2x = -18 + 12x + (3 + -18x) + -8

Reorder the terms:
1 + -2x = -18 + 3 + -8 + 12x + -18x

Combine like terms: -18 + 3 = -15
1 + -2x = -15 + -8 + 12x + -18x

Combine like terms: -15 + -8 = -23
1 + -2x = -23 + 12x + -18x

Combine like terms: 12x + -18x = -6x
1 + -2x = -23 + -6x

Solving
1 + -2x = -23 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + -2x + 6x = -23 + -6x + 6x

Combine like terms: -2x + 6x = 4x
1 + 4x = -23 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 4x = -23 + 0
1 + 4x = -23

Add '-1' to each side of the equation.
1 + -1 + 4x = -23 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -23 + -1
4x = -23 + -1

Combine like terms: -23 + -1 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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