90x+200(100-x)=8000

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Solution for 90x+200(100-x)=8000 equation:


Simplifying
90x + 200(100 + -1x) = 8000
90x + (100 * 200 + -1x * 200) = 8000
90x + (20000 + -200x) = 8000

Reorder the terms:
20000 + 90x + -200x = 8000

Combine like terms: 90x + -200x = -110x
20000 + -110x = 8000

Solving
20000 + -110x = 8000

Solving for variable 'x'.

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

Add '-20000' to each side of the equation.
20000 + -20000 + -110x = 8000 + -20000

Combine like terms: 20000 + -20000 = 0
0 + -110x = 8000 + -20000
-110x = 8000 + -20000

Combine like terms: 8000 + -20000 = -12000
-110x = -12000

Divide each side by '-110'.
x = 109.0909091

Simplifying
x = 109.0909091

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