17-(x+2)=10-(7-x)

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Solution for 17-(x+2)=10-(7-x) equation: 


Simplifying
17 + -1(x + 2) = 10 + -1(7 + -1x)

Reorder the terms:
17 + -1(2 + x) = 10 + -1(7 + -1x)
17 + (2 * -1 + x * -1) = 10 + -1(7 + -1x)
17 + (-2 + -1x) = 10 + -1(7 + -1x)

Combine like terms: 17 + -2 = 15
15 + -1x = 10 + -1(7 + -1x)
15 + -1x = 10 + (7 * -1 + -1x * -1)
15 + -1x = 10 + (-7 + 1x)

Combine like terms: 10 + -7 = 3
15 + -1x = 3 + 1x

Solving
15 + -1x = 3 + 1x

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.
15 + -1x + -1x = 3 + 1x + -1x

Combine like terms: -1x + -1x = -2x
15 + -2x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
15 + -2x = 3 + 0
15 + -2x = 3

Add '-15' to each side of the equation.
15 + -15 + -2x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 3 + -15
-2x = 3 + -15

Combine like terms: 3 + -15 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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