0.1(x+60)+0.4(x-10)=27

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Solution for 0.1(x+60)+0.4(x-10)=27 equation: 


Simplifying
0.1(x + 60) + 0.4(x + -10) = 27

Reorder the terms:
0.1(60 + x) + 0.4(x + -10) = 27
(60 * 0.1 + x * 0.1) + 0.4(x + -10) = 27
(6 + 0.1x) + 0.4(x + -10) = 27

Reorder the terms:
6 + 0.1x + 0.4(-10 + x) = 27
6 + 0.1x + (-10 * 0.4 + x * 0.4) = 27
6 + 0.1x + (-4 + 0.4x) = 27

Reorder the terms:
6 + -4 + 0.1x + 0.4x = 27

Combine like terms: 6 + -4 = 2
2 + 0.1x + 0.4x = 27

Combine like terms: 0.1x + 0.4x = 0.5x
2 + 0.5x = 27

Solving
2 + 0.5x = 27

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 0.5x = 27 + -2

Combine like terms: 2 + -2 = 0
0 + 0.5x = 27 + -2
0.5x = 27 + -2

Combine like terms: 27 + -2 = 25
0.5x = 25

Divide each side by '0.5'.
x = 50

Simplifying
x = 50

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