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

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


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

Reorder the terms:
14 + -8x = -7(2 + 4x) + 6x
14 + -8x = (2 * -7 + 4x * -7) + 6x
14 + -8x = (-14 + -28x) + 6x

Combine like terms: -28x + 6x = -22x
14 + -8x = -14 + -22x

Solving
14 + -8x = -14 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
14 + -8x + 22x = -14 + -22x + 22x

Combine like terms: -8x + 22x = 14x
14 + 14x = -14 + -22x + 22x

Combine like terms: -22x + 22x = 0
14 + 14x = -14 + 0
14 + 14x = -14

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

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

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

Divide each side by '14'.
x = -2

Simplifying
x = -2

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