6x-1=x+3x-6

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Solution for 6x-1=x+3x-6 equation:


Simplifying
6x + -1 = x + 3x + -6

Reorder the terms:
-1 + 6x = x + 3x + -6

Reorder the terms:
-1 + 6x = -6 + x + 3x

Combine like terms: x + 3x = 4x
-1 + 6x = -6 + 4x

Solving
-1 + 6x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 6x + -4x = -6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-1 + 2x = -6 + 0
-1 + 2x = -6

Add '1' to each side of the equation.
-1 + 1 + 2x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = -6 + 1
2x = -6 + 1

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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