0.1(0.5+x)=1-x

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Solution for 0.1(0.5+x)=1-x equation:


Simplifying
0.1(0.5 + x) = 1 + -1x
(0.5 * 0.1 + x * 0.1) = 1 + -1x
(0.05 + 0.1x) = 1 + -1x

Solving
0.05 + 0.1x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
0.05 + 0.1x + x = 1 + -1x + x

Combine like terms: 0.1x + x = 1.1x
0.05 + 1.1x = 1 + -1x + x

Combine like terms: -1x + x = 0
0.05 + 1.1x = 1 + 0
0.05 + 1.1x = 1

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 1.1x = 1 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 1.1x = 1 + -0.05
1.1x = 1 + -0.05

Combine like terms: 1 + -0.05 = 0.95
1.1x = 0.95

Divide each side by '1.1'.
x = 0.8636363636

Simplifying
x = 0.8636363636

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