2-2(x-3)=x-7

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Solution for 2-2(x-3)=x-7 equation: 


Simplifying
2 + -2(x + -3) = x + -7

Reorder the terms:
2 + -2(-3 + x) = x + -7
2 + (-3 * -2 + x * -2) = x + -7
2 + (6 + -2x) = x + -7

Combine like terms: 2 + 6 = 8
8 + -2x = x + -7

Reorder the terms:
8 + -2x = -7 + x

Solving
8 + -2x = -7 + 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.
8 + -2x + -1x = -7 + x + -1x

Combine like terms: -2x + -1x = -3x
8 + -3x = -7 + x + -1x

Combine like terms: x + -1x = 0
8 + -3x = -7 + 0
8 + -3x = -7

Add '-8' to each side of the equation.
8 + -8 + -3x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -7 + -8
-3x = -7 + -8

Combine like terms: -7 + -8 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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