.20x+50(6-x)=.40(6)

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Solution for .20x+50(6-x)=.40(6) equation:


Simplifying
0.20x + 50(6 + -1x) = 0.40(6)
0.20x + (6 * 50 + -1x * 50) = 0.40(6)
0.20x + (300 + -50x) = 0.40(6)

Reorder the terms:
300 + 0.20x + -50x = 0.40(6)

Combine like terms: 0.20x + -50x = -49.8x
300 + -49.8x = 0.40(6)

Multiply 0.40 * 6
300 + -49.8x = 2.4

Solving
300 + -49.8x = 2.4

Solving for variable 'x'.

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

Add '-300' to each side of the equation.
300 + -300 + -49.8x = 2.4 + -300

Combine like terms: 300 + -300 = 0
0 + -49.8x = 2.4 + -300
-49.8x = 2.4 + -300

Combine like terms: 2.4 + -300 = -297.6
-49.8x = -297.6

Divide each side by '-49.8'.
x = 5.975903614

Simplifying
x = 5.975903614

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