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

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


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

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

Reorder the terms:
28 + 14x = 8(-14 + x)
28 + 14x = (-14 * 8 + x * 8)
28 + 14x = (-112 + 8x)

Solving
28 + 14x = -112 + 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 + 14x + -8x = -112 + 8x + -8x

Combine like terms: 14x + -8x = 6x
28 + 6x = -112 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + 6x = -112 + 0
28 + 6x = -112

Add '-28' to each side of the equation.
28 + -28 + 6x = -112 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = -112 + -28
6x = -112 + -28

Combine like terms: -112 + -28 = -140
6x = -140

Divide each side by '6'.
x = -23.33333333

Simplifying
x = -23.33333333

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