4(2x+7)=2(x-14)-2

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Solution for 4(2x+7)=2(x-14)-2 equation:


Simplifying
4(2x + 7) = 2(x + -14) + -2

Reorder the terms:
4(7 + 2x) = 2(x + -14) + -2
(7 * 4 + 2x * 4) = 2(x + -14) + -2
(28 + 8x) = 2(x + -14) + -2

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

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

Combine like terms: -28 + -2 = -30
28 + 8x = -30 + 2x

Solving
28 + 8x = -30 + 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.
28 + 8x + -2x = -30 + 2x + -2x

Combine like terms: 8x + -2x = 6x
28 + 6x = -30 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + 6x = -30 + 0
28 + 6x = -30

Add '-28' to each side of the equation.
28 + -28 + 6x = -30 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = -30 + -28
6x = -30 + -28

Combine like terms: -30 + -28 = -58
6x = -58

Divide each side by '6'.
x = -9.666666667

Simplifying
x = -9.666666667

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