2(x-1)-6(x-3)=-1

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


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

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

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

Reorder the terms:
-2 + 18 + 2x + -6x = -1

Combine like terms: -2 + 18 = 16
16 + 2x + -6x = -1

Combine like terms: 2x + -6x = -4x
16 + -4x = -1

Solving
16 + -4x = -1

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -4x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -1 + -16
-4x = -1 + -16

Combine like terms: -1 + -16 = -17
-4x = -17

Divide each side by '-4'.
x = 4.25

Simplifying
x = 4.25

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