6-x=5(x-3)-1

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Solution for 6-x=5(x-3)-1 equation:


Simplifying
6 + -1x = 5(x + -3) + -1

Reorder the terms:
6 + -1x = 5(-3 + x) + -1
6 + -1x = (-3 * 5 + x * 5) + -1
6 + -1x = (-15 + 5x) + -1

Reorder the terms:
6 + -1x = -15 + -1 + 5x

Combine like terms: -15 + -1 = -16
6 + -1x = -16 + 5x

Solving
6 + -1x = -16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -1x + -5x = -16 + 5x + -5x

Combine like terms: -1x + -5x = -6x
6 + -6x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -6x = -16 + 0
6 + -6x = -16

Add '-6' to each side of the equation.
6 + -6 + -6x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -16 + -6
-6x = -16 + -6

Combine like terms: -16 + -6 = -22
-6x = -22

Divide each side by '-6'.
x = 3.666666667

Simplifying
x = 3.666666667

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