0.30(x+100)+0.50x=46

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Solution for 0.30(x+100)+0.50x=46 equation: 


Simplifying
0.30(x + 100) + 0.50x = 46

Reorder the terms:
0.30(100 + x) + 0.50x = 46
(100 * 0.30 + x * 0.30) + 0.50x = 46
(30 + 0.30x) + 0.50x = 46

Combine like terms: 0.30x + 0.50x = 0.8x
30 + 0.8x = 46

Solving
30 + 0.8x = 46

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 0.8x = 46 + -30

Combine like terms: 30 + -30 = 0
0 + 0.8x = 46 + -30
0.8x = 46 + -30

Combine like terms: 46 + -30 = 16
0.8x = 16

Divide each side by '0.8'.
x = 20

Simplifying
x = 20

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