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 = 16x
-8 + 16x = 4 + -14x + 14x

Combine like terms: -14x + 14x = 0
-8 + 16x = 4 + 0
-8 + 16x = 4

Add '8' to each side of the equation.
-8 + 8 + 16x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 4 + 8
16x = 4 + 8

Combine like terms: 4 + 8 = 12
16x = 12

Divide each side by '16'.
x = 0.75

Simplifying
x = 0.75

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