14(4-x)=12(2-x)

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Solution for 14(4-x)=12(2-x) equation:


Simplifying
14(4 + -1x) = 12(2 + -1x)
(4 * 14 + -1x * 14) = 12(2 + -1x)
(56 + -14x) = 12(2 + -1x)
56 + -14x = (2 * 12 + -1x * 12)
56 + -14x = (24 + -12x)

Solving
56 + -14x = 24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
56 + -14x + 12x = 24 + -12x + 12x

Combine like terms: -14x + 12x = -2x
56 + -2x = 24 + -12x + 12x

Combine like terms: -12x + 12x = 0
56 + -2x = 24 + 0
56 + -2x = 24

Add '-56' to each side of the equation.
56 + -56 + -2x = 24 + -56

Combine like terms: 56 + -56 = 0
0 + -2x = 24 + -56
-2x = 24 + -56

Combine like terms: 24 + -56 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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