14-2x=7-(x-2)

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Solution for 14-2x=7-(x-2) equation:


Simplifying
14 + -2x = 7 + -1(x + -2)

Reorder the terms:
14 + -2x = 7 + -1(-2 + x)
14 + -2x = 7 + (-2 * -1 + x * -1)
14 + -2x = 7 + (2 + -1x)

Combine like terms: 7 + 2 = 9
14 + -2x = 9 + -1x

Solving
14 + -2x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + -2x + x = 9 + -1x + x

Combine like terms: -2x + x = -1x
14 + -1x = 9 + -1x + x

Combine like terms: -1x + x = 0
14 + -1x = 9 + 0
14 + -1x = 9

Add '-14' to each side of the equation.
14 + -14 + -1x = 9 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 9 + -14
-1x = 9 + -14

Combine like terms: 9 + -14 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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