.30X+.2(500)=.035(X+500)

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Solution for .30X+.2(500)=.035(X+500) equation: 


Simplifying
0.30X + 0.2(500) = 0.035(X + 500)

Multiply 0.2 * 500
0.30X + 100 = 0.035(X + 500)

Reorder the terms:
100 + 0.30X = 0.035(X + 500)

Reorder the terms:
100 + 0.30X = 0.035(500 + X)
100 + 0.30X = (500 * 0.035 + X * 0.035)
100 + 0.30X = (17.5 + 0.035X)

Solving
100 + 0.30X = 17.5 + 0.035X

Solving for variable 'X'.

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

Add '-0.035X' to each side of the equation.
100 + 0.30X + -0.035X = 17.5 + 0.035X + -0.035X

Combine like terms: 0.30X + -0.035X = 0.265X
100 + 0.265X = 17.5 + 0.035X + -0.035X

Combine like terms: 0.035X + -0.035X = 0.000
100 + 0.265X = 17.5 + 0.000
100 + 0.265X = 17.5

Add '-100' to each side of the equation.
100 + -100 + 0.265X = 17.5 + -100

Combine like terms: 100 + -100 = 0
0 + 0.265X = 17.5 + -100
0.265X = 17.5 + -100

Combine like terms: 17.5 + -100 = -82.5
0.265X = -82.5

Divide each side by '0.265'.
X = -311.3207547

Simplifying
X = -311.3207547

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