0.5(x+20)+0.1x=19

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Solution for 0.5(x+20)+0.1x=19 equation: 


Simplifying
0.5(x + 20) + 0.1x = 19

Reorder the terms:
0.5(20 + x) + 0.1x = 19
(20 * 0.5 + x * 0.5) + 0.1x = 19
(10 + 0.5x) + 0.1x = 19

Combine like terms: 0.5x + 0.1x = 0.6x
10 + 0.6x = 19

Solving
10 + 0.6x = 19

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 0.6x = 19 + -10

Combine like terms: 10 + -10 = 0
0 + 0.6x = 19 + -10
0.6x = 19 + -10

Combine like terms: 19 + -10 = 9
0.6x = 9

Divide each side by '0.6'.
x = 15

Simplifying
x = 15

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