0.60x+0.10(400-x)=0.50(400)

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Solution for 0.60x+0.10(400-x)=0.50(400) equation: 


Simplifying
0.60x + 0.10(400 + -1x) = 0.50(400)
0.60x + (400 * 0.10 + -1x * 0.10) = 0.50(400)
0.60x + (40 + -0.1x) = 0.50(400)

Reorder the terms:
40 + 0.60x + -0.1x = 0.50(400)

Combine like terms: 0.60x + -0.1x = 0.5x
40 + 0.5x = 0.50(400)

Multiply 0.50 * 400
40 + 0.5x = 200

Solving
40 + 0.5x = 200

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 + 0.5x = 200 + -40

Combine like terms: 40 + -40 = 0
0 + 0.5x = 200 + -40
0.5x = 200 + -40

Combine like terms: 200 + -40 = 160
0.5x = 160

Divide each side by '0.5'.
x = 320

Simplifying
x = 320

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