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

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


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

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

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

Combine like terms: -2 + -6 = -8
-8 + 2x = 2(7x + -2)

Reorder the terms:
-8 + 2x = 2(-2 + 7x)
-8 + 2x = (-2 * 2 + 7x * 2)
-8 + 2x = (-4 + 14x)

Solving
-8 + 2x = -4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 2x + -14x = -4 + 14x + -14x

Combine like terms: 2x + -14x = -12x
-8 + -12x = -4 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + -12x = -4 + 0
-8 + -12x = -4

Add '8' to each side of the equation.
-8 + 8 + -12x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -12x = -4 + 8
-12x = -4 + 8

Combine like terms: -4 + 8 = 4
-12x = 4

Divide each side by '-12'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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