.45(.80)+.60x=0.50(80+x)

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Solution for .45(.80)+.60x=0.50(80+x) equation: 


Simplifying
0.45(0.80) + 0.60x = 0.50(80 + x)

Multiply 0.45 * 0.80
0.36 + 0.60x = 0.50(80 + x)
0.36 + 0.60x = (80 * 0.50 + x * 0.50)
0.36 + 0.60x = (40 + 0.50x)

Solving
0.36 + 0.60x = 40 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
0.36 + 0.60x + -0.50x = 40 + 0.50x + -0.50x

Combine like terms: 0.60x + -0.50x = 0.1x
0.36 + 0.1x = 40 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
0.36 + 0.1x = 40 + 0.00
0.36 + 0.1x = 40

Add '-0.36' to each side of the equation.
0.36 + -0.36 + 0.1x = 40 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + 0.1x = 40 + -0.36
0.1x = 40 + -0.36

Combine like terms: 40 + -0.36 = 39.64
0.1x = 39.64

Divide each side by '0.1'.
x = 396.4

Simplifying
x = 396.4

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