6(x-2)-2x=(7x-1)

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Solution for 6(x-2)-2x=(7x-1) equation:


Simplifying
6(x + -2) + -2x = (7x + -1)

Reorder the terms:
6(-2 + x) + -2x = (7x + -1)
(-2 * 6 + x * 6) + -2x = (7x + -1)
(-12 + 6x) + -2x = (7x + -1)

Combine like terms: 6x + -2x = 4x
-12 + 4x = (7x + -1)

Reorder the terms:
-12 + 4x = (-1 + 7x)

Remove parenthesis around (-1 + 7x)
-12 + 4x = -1 + 7x

Solving
-12 + 4x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + 4x + -7x = -1 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-12 + -3x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -3x = -1 + 0
-12 + -3x = -1

Add '12' to each side of the equation.
-12 + 12 + -3x = -1 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -1 + 12
-3x = -1 + 12

Combine like terms: -1 + 12 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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