x-16=3-(x-17)

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Solution for x-16=3-(x-17) equation:


Simplifying
x + -16 = 3 + -1(x + -17)

Reorder the terms:
-16 + x = 3 + -1(x + -17)

Reorder the terms:
-16 + x = 3 + -1(-17 + x)
-16 + x = 3 + (-17 * -1 + x * -1)
-16 + x = 3 + (17 + -1x)

Combine like terms: 3 + 17 = 20
-16 + x = 20 + -1x

Solving
-16 + x = 20 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + x + x = 20 + -1x + x

Combine like terms: x + x = 2x
-16 + 2x = 20 + -1x + x

Combine like terms: -1x + x = 0
-16 + 2x = 20 + 0
-16 + 2x = 20

Add '16' to each side of the equation.
-16 + 16 + 2x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 20 + 16
2x = 20 + 16

Combine like terms: 20 + 16 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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