14(x+2)+8=2(x+6)

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Solution for 14(x+2)+8=2(x+6) equation: 


Simplifying
14(x + 2) + 8 = 2(x + 6)

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

Reorder the terms:
28 + 8 + 14x = 2(x + 6)

Combine like terms: 28 + 8 = 36
36 + 14x = 2(x + 6)

Reorder the terms:
36 + 14x = 2(6 + x)
36 + 14x = (6 * 2 + x * 2)
36 + 14x = (12 + 2x)

Solving
36 + 14x = 12 + 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.
36 + 14x + -2x = 12 + 2x + -2x

Combine like terms: 14x + -2x = 12x
36 + 12x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 12x = 12 + 0
36 + 12x = 12

Add '-36' to each side of the equation.
36 + -36 + 12x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 12x = 12 + -36
12x = 12 + -36

Combine like terms: 12 + -36 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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