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

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


Simplifying
14 + -1(x + 6) = 4x + -2

Reorder the terms:
14 + -1(6 + x) = 4x + -2
14 + (6 * -1 + x * -1) = 4x + -2
14 + (-6 + -1x) = 4x + -2

Combine like terms: 14 + -6 = 8
8 + -1x = 4x + -2

Reorder the terms:
8 + -1x = -2 + 4x

Solving
8 + -1x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + -1x + -4x = -2 + 4x + -4x

Combine like terms: -1x + -4x = -5x
8 + -5x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -5x = -2 + 0
8 + -5x = -2

Add '-8' to each side of the equation.
8 + -8 + -5x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -2 + -8
-5x = -2 + -8

Combine like terms: -2 + -8 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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