5x+10(200-x)=45x

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Solution for 5x+10(200-x)=45x equation:


Simplifying
5x + 10(200 + -1x) = 45x
5x + (200 * 10 + -1x * 10) = 45x
5x + (2000 + -10x) = 45x

Reorder the terms:
2000 + 5x + -10x = 45x

Combine like terms: 5x + -10x = -5x
2000 + -5x = 45x

Solving
2000 + -5x = 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
2000 + -5x + -45x = 45x + -45x

Combine like terms: -5x + -45x = -50x
2000 + -50x = 45x + -45x

Combine like terms: 45x + -45x = 0
2000 + -50x = 0

Add '-2000' to each side of the equation.
2000 + -2000 + -50x = 0 + -2000

Combine like terms: 2000 + -2000 = 0
0 + -50x = 0 + -2000
-50x = 0 + -2000

Combine like terms: 0 + -2000 = -2000
-50x = -2000

Divide each side by '-50'.
x = 40

Simplifying
x = 40

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