(x-(20-x))*10=100

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Solution for (x-(20-x))*10=100 equation:


Simplifying
(x + -1(20 + -1x)) * 10 = 100
(x + (20 * -1 + -1x * -1)) * 10 = 100
(x + (-20 + 1x)) * 10 = 100

Reorder the terms:
(-20 + x + 1x) * 10 = 100

Combine like terms: x + 1x = 2x
(-20 + 2x) * 10 = 100

Reorder the terms for easier multiplication:
10(-20 + 2x) = 100
(-20 * 10 + 2x * 10) = 100
(-200 + 20x) = 100

Solving
-200 + 20x = 100

Solving for variable 'x'.

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

Add '200' to each side of the equation.
-200 + 200 + 20x = 100 + 200

Combine like terms: -200 + 200 = 0
0 + 20x = 100 + 200
20x = 100 + 200

Combine like terms: 100 + 200 = 300
20x = 300

Divide each side by '20'.
x = 15

Simplifying
x = 15

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