0.15x+0.5(10-x)=0.10x

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Solution for 0.15x+0.5(10-x)=0.10x equation: 


Simplifying
0.15x + 0.5(10 + -1x) = 0.10x
0.15x + (10 * 0.5 + -1x * 0.5) = 0.10x
0.15x + (5 + -0.5x) = 0.10x

Reorder the terms:
5 + 0.15x + -0.5x = 0.10x

Combine like terms: 0.15x + -0.5x = -0.35x
5 + -0.35x = 0.10x

Solving
5 + -0.35x = 0.10x

Solving for variable 'x'.

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

Add '-0.10x' to each side of the equation.
5 + -0.35x + -0.10x = 0.10x + -0.10x

Combine like terms: -0.35x + -0.10x = -0.45x
5 + -0.45x = 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
5 + -0.45x = 0.00

Add '-5' to each side of the equation.
5 + -5 + -0.45x = 0.00 + -5

Combine like terms: 5 + -5 = 0
0 + -0.45x = 0.00 + -5
-0.45x = 0.00 + -5

Combine like terms: 0.00 + -5 = -5
-0.45x = -5

Divide each side by '-0.45'.
x = 11.11111111

Simplifying
x = 11.11111111

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