(80-x)=(90-2x)

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Solution for (80-x)=(90-2x) equation:


Simplifying
(80 + -1x) = (90 + -2x)

Remove parenthesis around (80 + -1x)
80 + -1x = (90 + -2x)

Remove parenthesis around (90 + -2x)
80 + -1x = 90 + -2x

Solving
80 + -1x = 90 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
80 + -1x + 2x = 90 + -2x + 2x

Combine like terms: -1x + 2x = 1x
80 + 1x = 90 + -2x + 2x

Combine like terms: -2x + 2x = 0
80 + 1x = 90 + 0
80 + 1x = 90

Add '-80' to each side of the equation.
80 + -80 + 1x = 90 + -80

Combine like terms: 80 + -80 = 0
0 + 1x = 90 + -80
1x = 90 + -80

Combine like terms: 90 + -80 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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