2(x-1)=8x-14

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Solution for 2(x-1)=8x-14 equation:


Simplifying
2(x + -1) = 8x + -14

Reorder the terms:
2(-1 + x) = 8x + -14
(-1 * 2 + x * 2) = 8x + -14
(-2 + 2x) = 8x + -14

Reorder the terms:
-2 + 2x = -14 + 8x

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

Solving for variable 'x'.

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

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

Combine like terms: 2x + -8x = -6x
-2 + -6x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -6x = -14 + 0
-2 + -6x = -14

Add '2' to each side of the equation.
-2 + 2 + -6x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -14 + 2
-6x = -14 + 2

Combine like terms: -14 + 2 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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