0.001(500)+0.08x=0.03(500+x)

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Solution for 0.001(500)+0.08x=0.03(500+x) equation: 


Simplifying
0.001(500) + 0.08x = 0.03(500 + x)

Multiply 0.001 * 500
0.5 + 0.08x = 0.03(500 + x)
0.5 + 0.08x = (500 * 0.03 + x * 0.03)
0.5 + 0.08x = (15 + 0.03x)

Solving
0.5 + 0.08x = 15 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
0.5 + 0.08x + -0.03x = 15 + 0.03x + -0.03x

Combine like terms: 0.08x + -0.03x = 0.05x
0.5 + 0.05x = 15 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
0.5 + 0.05x = 15 + 0.00
0.5 + 0.05x = 15

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.05x = 15 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.05x = 15 + -0.5
0.05x = 15 + -0.5

Combine like terms: 15 + -0.5 = 14.5
0.05x = 14.5

Divide each side by '0.05'.
x = 290

Simplifying
x = 290

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