(.06)(6-x)+(.02)(x)=(.03)(6)

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Solution for (.06)(6-x)+(.02)(x)=(.03)(6) equation: 


Simplifying
(0.06)(6 + -1x) + (0.02)(x) = (0.03)(6)
(6 * 0.06 + -1x * 0.06) + (0.02)(x) = (0.03)(6)
(0.36 + -0.06x) + (0.02)(x) = (0.03)(6)

Combine like terms: -0.06x + 0.02x = -0.04x
0.36 + -0.04x = (0.03)(6)

Multiply 0.03 * 6
0.36 + -0.04x = 0.18

Solving
0.36 + -0.04x = 0.18

Solving for variable 'x'.

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

Add '-0.36' to each side of the equation.
0.36 + -0.36 + -0.04x = 0.18 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -0.04x = 0.18 + -0.36
-0.04x = 0.18 + -0.36

Combine like terms: 0.18 + -0.36 = -0.18
-0.04x = -0.18

Divide each side by '-0.04'.
x = 4.5

Simplifying
x = 4.5

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