.30x+.02(500)=.035(x+500)

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Solution for .30x+.02(500)=.035(x+500) equation: 


Simplifying
0.30x + 0.02(500) = 0.035(x + 500)

Multiply 0.02 * 500
0.30x + 10 = 0.035(x + 500)

Reorder the terms:
10 + 0.30x = 0.035(x + 500)

Reorder the terms:
10 + 0.30x = 0.035(500 + x)
10 + 0.30x = (500 * 0.035 + x * 0.035)
10 + 0.30x = (17.5 + 0.035x)

Solving
10 + 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.
10 + 0.30x + -0.035x = 17.5 + 0.035x + -0.035x

Combine like terms: 0.30x + -0.035x = 0.265x
10 + 0.265x = 17.5 + 0.035x + -0.035x

Combine like terms: 0.035x + -0.035x = 0.000
10 + 0.265x = 17.5 + 0.000
10 + 0.265x = 17.5

Add '-10' to each side of the equation.
10 + -10 + 0.265x = 17.5 + -10

Combine like terms: 10 + -10 = 0
0 + 0.265x = 17.5 + -10
0.265x = 17.5 + -10

Combine like terms: 17.5 + -10 = 7.5
0.265x = 7.5

Divide each side by '0.265'.
x = 28.30188679

Simplifying
x = 28.30188679

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