2(x+14)=8x-14

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


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

Reorder the terms:
2(14 + x) = 8x + -14
(14 * 2 + x * 2) = 8x + -14
(28 + 2x) = 8x + -14

Reorder the terms:
28 + 2x = -14 + 8x

Solving
28 + 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.
28 + 2x + -8x = -14 + 8x + -8x

Combine like terms: 2x + -8x = -6x
28 + -6x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + -6x = -14 + 0
28 + -6x = -14

Add '-28' to each side of the equation.
28 + -28 + -6x = -14 + -28

Combine like terms: 28 + -28 = 0
0 + -6x = -14 + -28
-6x = -14 + -28

Combine like terms: -14 + -28 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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