2(x-7)=(x-9)

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Solution for 2(x-7)=(x-9) equation:


Simplifying
2(x + -7) = (x + -9)

Reorder the terms:
2(-7 + x) = (x + -9)
(-7 * 2 + x * 2) = (x + -9)
(-14 + 2x) = (x + -9)

Reorder the terms:
-14 + 2x = (-9 + x)

Remove parenthesis around (-9 + x)
-14 + 2x = -9 + x

Solving
-14 + 2x = -9 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 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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