0.006(500)+0.06x=0.03(500+x)

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Solution for 0.006(500)+0.06x=0.03(500+x) equation: 


Simplifying
0.006(500) + 0.06x = 0.03(500 + x)

Multiply 0.006 * 500
3 + 0.06x = 0.03(500 + x)
3 + 0.06x = (500 * 0.03 + x * 0.03)
3 + 0.06x = (15 + 0.03x)

Solving
3 + 0.06x = 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.
3 + 0.06x + -0.03x = 15 + 0.03x + -0.03x

Combine like terms: 0.06x + -0.03x = 0.03x
3 + 0.03x = 15 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
3 + 0.03x = 15 + 0.00
3 + 0.03x = 15

Add '-3' to each side of the equation.
3 + -3 + 0.03x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 0.03x = 15 + -3
0.03x = 15 + -3

Combine like terms: 15 + -3 = 12
0.03x = 12

Divide each side by '0.03'.
x = 400

Simplifying
x = 400

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