2x-(6x-1)=-x-5

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Solution for 2x-(6x-1)=-x-5 equation:


Simplifying
2x + -1(6x + -1) = -1x + -5

Reorder the terms:
2x + -1(-1 + 6x) = -1x + -5
2x + (-1 * -1 + 6x * -1) = -1x + -5
2x + (1 + -6x) = -1x + -5

Reorder the terms:
1 + 2x + -6x = -1x + -5

Combine like terms: 2x + -6x = -4x
1 + -4x = -1x + -5

Reorder the terms:
1 + -4x = -5 + -1x

Solving
1 + -4x = -5 + -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.
1 + -4x + x = -5 + -1x + x

Combine like terms: -4x + x = -3x
1 + -3x = -5 + -1x + x

Combine like terms: -1x + x = 0
1 + -3x = -5 + 0
1 + -3x = -5

Add '-1' to each side of the equation.
1 + -1 + -3x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -5 + -1
-3x = -5 + -1

Combine like terms: -5 + -1 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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