2(90-x)=(180-x)-10

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Solution for 2(90-x)=(180-x)-10 equation:


Simplifying
2(90 + -1x) = (180 + -1x) + -10
(90 * 2 + -1x * 2) = (180 + -1x) + -10
(180 + -2x) = (180 + -1x) + -10

Remove parenthesis around (180 + -1x)
180 + -2x = 180 + -1x + -10

Reorder the terms:
180 + -2x = 180 + -10 + -1x

Combine like terms: 180 + -10 = 170
180 + -2x = 170 + -1x

Solving
180 + -2x = 170 + -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.
180 + -2x + x = 170 + -1x + x

Combine like terms: -2x + x = -1x
180 + -1x = 170 + -1x + x

Combine like terms: -1x + x = 0
180 + -1x = 170 + 0
180 + -1x = 170

Add '-180' to each side of the equation.
180 + -180 + -1x = 170 + -180

Combine like terms: 180 + -180 = 0
0 + -1x = 170 + -180
-1x = 170 + -180

Combine like terms: 170 + -180 = -10
-1x = -10

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

Simplifying
x = 10

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