60+0.1x=0.25*(200+x)

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Solution for 60+0.1x=0.25*(200+x) equation: 


Simplifying
60 + 0.1x = 0.25(200 + x)
60 + 0.1x = (200 * 0.25 + x * 0.25)
60 + 0.1x = (50 + 0.25x)

Solving
60 + 0.1x = 50 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
60 + 0.1x + -0.25x = 50 + 0.25x + -0.25x

Combine like terms: 0.1x + -0.25x = -0.15x
60 + -0.15x = 50 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
60 + -0.15x = 50 + 0.00
60 + -0.15x = 50

Add '-60' to each side of the equation.
60 + -60 + -0.15x = 50 + -60

Combine like terms: 60 + -60 = 0
0 + -0.15x = 50 + -60
-0.15x = 50 + -60

Combine like terms: 50 + -60 = -10
-0.15x = -10

Divide each side by '-0.15'.
x = 66.66666667

Simplifying
x = 66.66666667

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