10x+100(110-x)=6410

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Solution for 10x+100(110-x)=6410 equation:


Simplifying
10x + 100(110 + -1x) = 6410
10x + (110 * 100 + -1x * 100) = 6410
10x + (11000 + -100x) = 6410

Reorder the terms:
11000 + 10x + -100x = 6410

Combine like terms: 10x + -100x = -90x
11000 + -90x = 6410

Solving
11000 + -90x = 6410

Solving for variable 'x'.

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

Add '-11000' to each side of the equation.
11000 + -11000 + -90x = 6410 + -11000

Combine like terms: 11000 + -11000 = 0
0 + -90x = 6410 + -11000
-90x = 6410 + -11000

Combine like terms: 6410 + -11000 = -4590
-90x = -4590

Divide each side by '-90'.
x = 51

Simplifying
x = 51

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