6=14-2(x-2)

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


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

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

Combine like terms: 14 + 4 = 18
6 = 18 + -2x

Solving
6 = 18 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 2x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 2x = 18 + 0
6 + 2x = 18

Add '-6' to each side of the equation.
6 + -6 + 2x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 18 + -6
2x = 18 + -6

Combine like terms: 18 + -6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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