.1x+(.5)(3x)=12

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Solution for .1x+(.5)(3x)=12 equation: 


Simplifying
0.1x + (0.5)(3x) = 12

Remove parenthesis around (3x)
0.1x + 0.5 * 3x = 12

Multiply 0.5 * 3
0.1x + 1.5x = 12

Combine like terms: 0.1x + 1.5x = 1.6x
1.6x = 12

Solving
1.6x = 12

Solving for variable 'x'.

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

Divide each side by '1.6'.
x = 7.5

Simplifying
x = 7.5

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