6x-2-(x-1)=2x-4

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Solution for 6x-2-(x-1)=2x-4 equation:


Simplifying
6x + -2 + -1(x + -1) = 2x + -4

Reorder the terms:
6x + -2 + -1(-1 + x) = 2x + -4
6x + -2 + (-1 * -1 + x * -1) = 2x + -4
6x + -2 + (1 + -1x) = 2x + -4

Reorder the terms:
-2 + 1 + 6x + -1x = 2x + -4

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

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

Reorder the terms:
-1 + 5x = -4 + 2x

Solving
-1 + 5x = -4 + 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.
-1 + 5x + -2x = -4 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-1 + 3x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 3x = -4 + 0
-1 + 3x = -4

Add '1' to each side of the equation.
-1 + 1 + 3x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = -4 + 1
3x = -4 + 1

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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