0.02(500-x)+0.15x=75

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Solution for 0.02(500-x)+0.15x=75 equation: 


Simplifying
0.02(500 + -1x) + 0.15x = 75
(500 * 0.02 + -1x * 0.02) + 0.15x = 75
(10 + -0.02x) + 0.15x = 75

Combine like terms: -0.02x + 0.15x = 0.13x
10 + 0.13x = 75

Solving
10 + 0.13x = 75

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 0.13x = 75 + -10

Combine like terms: 10 + -10 = 0
0 + 0.13x = 75 + -10
0.13x = 75 + -10

Combine like terms: 75 + -10 = 65
0.13x = 65

Divide each side by '0.13'.
x = 500

Simplifying
x = 500

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