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

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


Simplifying
14(x + 2) = 14 + -2(3 + -1x)

Reorder the terms:
14(2 + x) = 14 + -2(3 + -1x)
(2 * 14 + x * 14) = 14 + -2(3 + -1x)
(28 + 14x) = 14 + -2(3 + -1x)
28 + 14x = 14 + (3 * -2 + -1x * -2)
28 + 14x = 14 + (-6 + 2x)

Combine like terms: 14 + -6 = 8
28 + 14x = 8 + 2x

Solving
28 + 14x = 8 + 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 + 14x + -2x = 8 + 2x + -2x

Combine like terms: 14x + -2x = 12x
28 + 12x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + 12x = 8 + 0
28 + 12x = 8

Add '-28' to each side of the equation.
28 + -28 + 12x = 8 + -28

Combine like terms: 28 + -28 = 0
0 + 12x = 8 + -28
12x = 8 + -28

Combine like terms: 8 + -28 = -20
12x = -20

Divide each side by '12'.
x = -1.666666667

Simplifying
x = -1.666666667

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