90=82+2x+(10-x)(-1)

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Solution for 90=82+2x+(10-x)(-1) equation:


Simplifying
90 = 82 + 2x + (10 + -1x)(-1)

Reorder the terms for easier multiplication:
90 = 82 + 2x + -1(10 + -1x)
90 = 82 + 2x + (10 * -1 + -1x * -1)
90 = 82 + 2x + (-10 + 1x)

Reorder the terms:
90 = 82 + -10 + 2x + 1x

Combine like terms: 82 + -10 = 72
90 = 72 + 2x + 1x

Combine like terms: 2x + 1x = 3x
90 = 72 + 3x

Solving
90 = 72 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
90 + -3x = 72 + 3x + -3x

Combine like terms: 3x + -3x = 0
90 + -3x = 72 + 0
90 + -3x = 72

Add '-90' to each side of the equation.
90 + -90 + -3x = 72 + -90

Combine like terms: 90 + -90 = 0
0 + -3x = 72 + -90
-3x = 72 + -90

Combine like terms: 72 + -90 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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