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

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


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

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

Remove parenthesis around (-3 + x)
-3 + x + -6(x + 4) = -1x + 1

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

Reorder the terms:
-3 + -24 + x + -6x = -1x + 1

Combine like terms: -3 + -24 = -27
-27 + x + -6x = -1x + 1

Combine like terms: x + -6x = -5x
-27 + -5x = -1x + 1

Reorder the terms:
-27 + -5x = 1 + -1x

Solving
-27 + -5x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-27 + -5x + x = 1 + -1x + x

Combine like terms: -5x + x = -4x
-27 + -4x = 1 + -1x + x

Combine like terms: -1x + x = 0
-27 + -4x = 1 + 0
-27 + -4x = 1

Add '27' to each side of the equation.
-27 + 27 + -4x = 1 + 27

Combine like terms: -27 + 27 = 0
0 + -4x = 1 + 27
-4x = 1 + 27

Combine like terms: 1 + 27 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

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