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

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


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

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

Combine like terms: 6 + 1 = 7
7 + -1x = 2x + -1

Reorder the terms:
7 + -1x = -1 + 2x

Solving
7 + -1x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -1x + -2x = -1 + 2x + -2x

Combine like terms: -1x + -2x = -3x
7 + -3x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -3x = -1 + 0
7 + -3x = -1

Add '-7' to each side of the equation.
7 + -7 + -3x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -1 + -7
-3x = -1 + -7

Combine like terms: -1 + -7 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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