14(x+2)=14-2(3-4x)

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Solution for 14(x+2)=14-2(3-4x) equation: 


Simplifying
14(x + 2) = 14 + -2(3 + -4x)

Reorder the terms:
14(2 + x) = 14 + -2(3 + -4x)
(2 * 14 + x * 14) = 14 + -2(3 + -4x)
(28 + 14x) = 14 + -2(3 + -4x)
28 + 14x = 14 + (3 * -2 + -4x * -2)
28 + 14x = 14 + (-6 + 8x)

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

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

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

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

Add '-28' to each side of the equation.
28 + -28 + 6x = 8 + -28

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

Combine like terms: 8 + -28 = -20
6x = -20

Divide each side by '6'.
x = -3.333333333

Simplifying
x = -3.333333333

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