2(x-7)=x-2

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


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

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

Reorder the terms:
-14 + 2x = -2 + x

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

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

Combine like terms: x + -1x = 0
-14 + 1x = -2 + 0
-14 + 1x = -2

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

Combine like terms: -14 + 14 = 0
0 + 1x = -2 + 14
1x = -2 + 14

Combine like terms: -2 + 14 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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