2(4+x)-8(6+7x)=14

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Solution for 2(4+x)-8(6+7x)=14 equation: 


Simplifying
2(4 + x) + -8(6 + 7x) = 14
(4 * 2 + x * 2) + -8(6 + 7x) = 14
(8 + 2x) + -8(6 + 7x) = 14
8 + 2x + (6 * -8 + 7x * -8) = 14
8 + 2x + (-48 + -56x) = 14

Reorder the terms:
8 + -48 + 2x + -56x = 14

Combine like terms: 8 + -48 = -40
-40 + 2x + -56x = 14

Combine like terms: 2x + -56x = -54x
-40 + -54x = 14

Solving
-40 + -54x = 14

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + -54x = 14 + 40

Combine like terms: -40 + 40 = 0
0 + -54x = 14 + 40
-54x = 14 + 40

Combine like terms: 14 + 40 = 54
-54x = 54

Divide each side by '-54'.
x = -1

Simplifying
x = -1

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