2-(x-3)-2(5-x)=7

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Solution for 2-(x-3)-2(5-x)=7 equation: 


Simplifying
2 + -1(x + -3) + -2(5 + -1x) = 7

Reorder the terms:
2 + -1(-3 + x) + -2(5 + -1x) = 7
2 + (-3 * -1 + x * -1) + -2(5 + -1x) = 7
2 + (3 + -1x) + -2(5 + -1x) = 7
2 + 3 + -1x + (5 * -2 + -1x * -2) = 7
2 + 3 + -1x + (-10 + 2x) = 7

Reorder the terms:
2 + 3 + -10 + -1x + 2x = 7

Combine like terms: 2 + 3 = 5
5 + -10 + -1x + 2x = 7

Combine like terms: 5 + -10 = -5
-5 + -1x + 2x = 7

Combine like terms: -1x + 2x = 1x
-5 + 1x = 7

Solving
-5 + 1x = 7

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 1x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 7 + 5
1x = 7 + 5

Combine like terms: 7 + 5 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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