0.60x+0.40(100-x)=50

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Solution for 0.60x+0.40(100-x)=50 equation:


Simplifying
0.60x + 0.40(100 + -1x) = 50
0.60x + (100 * 0.40 + -1x * 0.40) = 50
0.60x + (40 + -0.4x) = 50

Reorder the terms:
40 + 0.60x + -0.4x = 50

Combine like terms: 0.60x + -0.4x = 0.2x
40 + 0.2x = 50

Solving
40 + 0.2x = 50

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 0.2x = 50 + -40

Combine like terms: 40 + -40 = 0
0 + 0.2x = 50 + -40
0.2x = 50 + -40

Combine like terms: 50 + -40 = 10
0.2x = 10

Divide each side by '0.2'.
x = 50

Simplifying
x = 50

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