0.1(x+30)+0.5x=12

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Solution for 0.1(x+30)+0.5x=12 equation: 


Simplifying
0.1(x + 30) + 0.5x = 12

Reorder the terms:
0.1(30 + x) + 0.5x = 12
(30 * 0.1 + x * 0.1) + 0.5x = 12
(3 + 0.1x) + 0.5x = 12

Combine like terms: 0.1x + 0.5x = 0.6x
3 + 0.6x = 12

Solving
3 + 0.6x = 12

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 0.6x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 0.6x = 12 + -3
0.6x = 12 + -3

Combine like terms: 12 + -3 = 9
0.6x = 9

Divide each side by '0.6'.
x = 15

Simplifying
x = 15

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