500x+200(8-x)=220

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Solution for 500x+200(8-x)=220 equation:


Simplifying
500x + 200(8 + -1x) = 220
500x + (8 * 200 + -1x * 200) = 220
500x + (1600 + -200x) = 220

Reorder the terms:
1600 + 500x + -200x = 220

Combine like terms: 500x + -200x = 300x
1600 + 300x = 220

Solving
1600 + 300x = 220

Solving for variable 'x'.

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

Add '-1600' to each side of the equation.
1600 + -1600 + 300x = 220 + -1600

Combine like terms: 1600 + -1600 = 0
0 + 300x = 220 + -1600
300x = 220 + -1600

Combine like terms: 220 + -1600 = -1380
300x = -1380

Divide each side by '300'.
x = -4.6

Simplifying
x = -4.6

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