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

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


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

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

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

Solving
14 + 8x = -4 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 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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