(x-1)+(x+2)-(x-1)-6*(3x-2)=0

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Solution for (x-1)+(x+2)-(x-1)-6*(3x-2)=0 equation:


Simplifying
(x + -1) + (x + 2) + -1(x + -1) + -6(3x + -2) = 0

Reorder the terms:
(-1 + x) + (x + 2) + -1(x + -1) + -6(3x + -2) = 0

Remove parenthesis around (-1 + x)
-1 + x + (x + 2) + -1(x + -1) + -6(3x + -2) = 0

Reorder the terms:
-1 + x + (2 + x) + -1(x + -1) + -6(3x + -2) = 0

Remove parenthesis around (2 + x)
-1 + x + 2 + x + -1(x + -1) + -6(3x + -2) = 0

Reorder the terms:
-1 + x + 2 + x + -1(-1 + x) + -6(3x + -2) = 0
-1 + x + 2 + x + (-1 * -1 + x * -1) + -6(3x + -2) = 0
-1 + x + 2 + x + (1 + -1x) + -6(3x + -2) = 0

Reorder the terms:
-1 + x + 2 + x + 1 + -1x + -6(-2 + 3x) = 0
-1 + x + 2 + x + 1 + -1x + (-2 * -6 + 3x * -6) = 0
-1 + x + 2 + x + 1 + -1x + (12 + -18x) = 0

Reorder the terms:
-1 + 2 + 1 + 12 + x + x + -1x + -18x = 0

Combine like terms: -1 + 2 = 1
1 + 1 + 12 + x + x + -1x + -18x = 0

Combine like terms: 1 + 1 = 2
2 + 12 + x + x + -1x + -18x = 0

Combine like terms: 2 + 12 = 14
14 + x + x + -1x + -18x = 0

Combine like terms: x + x = 2x
14 + 2x + -1x + -18x = 0

Combine like terms: 2x + -1x = 1x
14 + 1x + -18x = 0

Combine like terms: 1x + -18x = -17x
14 + -17x = 0

Solving
14 + -17x = 0

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -17x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -17x = 0 + -14
-17x = 0 + -14

Combine like terms: 0 + -14 = -14
-17x = -14

Divide each side by '-17'.
x = 0.8235294118

Simplifying
x = 0.8235294118

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