2(x+7)=8x-4

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Solution for 2(x+7)=8x-4 equation:


Simplifying
2(x + 7) = 8x + -4

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

Reorder the terms:
14 + 2x = -4 + 8x

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

Combine like terms: 2x + -8x = -6x
14 + -6x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -6x = -4 + 0
14 + -6x = -4

Add '-14' to each side of the equation.
14 + -14 + -6x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -4 + -14
-6x = -4 + -14

Combine like terms: -4 + -14 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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