14-5x=-8(x-4)-6x

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Solution for 14-5x=-8(x-4)-6x equation:


Simplifying
14 + -5x = -8(x + -4) + -6x

Reorder the terms:
14 + -5x = -8(-4 + x) + -6x
14 + -5x = (-4 * -8 + x * -8) + -6x
14 + -5x = (32 + -8x) + -6x

Combine like terms: -8x + -6x = -14x
14 + -5x = 32 + -14x

Solving
14 + -5x = 32 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
14 + -5x + 14x = 32 + -14x + 14x

Combine like terms: -5x + 14x = 9x
14 + 9x = 32 + -14x + 14x

Combine like terms: -14x + 14x = 0
14 + 9x = 32 + 0
14 + 9x = 32

Add '-14' to each side of the equation.
14 + -14 + 9x = 32 + -14

Combine like terms: 14 + -14 = 0
0 + 9x = 32 + -14
9x = 32 + -14

Combine like terms: 32 + -14 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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