17-(5-x)+2(5-x)=12

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Solution for 17-(5-x)+2(5-x)=12 equation:


Simplifying
17 + -1(5 + -1x) + 2(5 + -1x) = 12
17 + (5 * -1 + -1x * -1) + 2(5 + -1x) = 12
17 + (-5 + 1x) + 2(5 + -1x) = 12
17 + -5 + 1x + (5 * 2 + -1x * 2) = 12
17 + -5 + 1x + (10 + -2x) = 12

Reorder the terms:
17 + -5 + 10 + 1x + -2x = 12

Combine like terms: 17 + -5 = 12
12 + 10 + 1x + -2x = 12

Combine like terms: 12 + 10 = 22
22 + 1x + -2x = 12

Combine like terms: 1x + -2x = -1x
22 + -1x = 12

Solving
22 + -1x = 12

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 12 + -22
-1x = 12 + -22

Combine like terms: 12 + -22 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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