6(7x+14)=12-(x+2)

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Solution for 6(7x+14)=12-(x+2) equation:


Simplifying
6(7x + 14) = 12 + -1(x + 2)

Reorder the terms:
6(14 + 7x) = 12 + -1(x + 2)
(14 * 6 + 7x * 6) = 12 + -1(x + 2)
(84 + 42x) = 12 + -1(x + 2)

Reorder the terms:
84 + 42x = 12 + -1(2 + x)
84 + 42x = 12 + (2 * -1 + x * -1)
84 + 42x = 12 + (-2 + -1x)

Combine like terms: 12 + -2 = 10
84 + 42x = 10 + -1x

Solving
84 + 42x = 10 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
84 + 42x + x = 10 + -1x + x

Combine like terms: 42x + x = 43x
84 + 43x = 10 + -1x + x

Combine like terms: -1x + x = 0
84 + 43x = 10 + 0
84 + 43x = 10

Add '-84' to each side of the equation.
84 + -84 + 43x = 10 + -84

Combine like terms: 84 + -84 = 0
0 + 43x = 10 + -84
43x = 10 + -84

Combine like terms: 10 + -84 = -74
43x = -74

Divide each side by '43'.
x = -1.720930233

Simplifying
x = -1.720930233

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