0.1666(x-5)=0.50(x+6)

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Solution for 0.1666(x-5)=0.50(x+6) equation:


Simplifying
0.1666(x + -5) = 0.50(x + 6)

Reorder the terms:
0.1666(-5 + x) = 0.50(x + 6)
(-5 * 0.1666 + x * 0.1666) = 0.50(x + 6)
(-0.833 + 0.1666x) = 0.50(x + 6)

Reorder the terms:
-0.833 + 0.1666x = 0.50(6 + x)
-0.833 + 0.1666x = (6 * 0.50 + x * 0.50)
-0.833 + 0.1666x = (3 + 0.50x)

Solving
-0.833 + 0.1666x = 3 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
-0.833 + 0.1666x + -0.50x = 3 + 0.50x + -0.50x

Combine like terms: 0.1666x + -0.50x = -0.3334x
-0.833 + -0.3334x = 3 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
-0.833 + -0.3334x = 3 + 0.00
-0.833 + -0.3334x = 3

Add '0.833' to each side of the equation.
-0.833 + 0.833 + -0.3334x = 3 + 0.833

Combine like terms: -0.833 + 0.833 = 0.000
0.000 + -0.3334x = 3 + 0.833
-0.3334x = 3 + 0.833

Combine like terms: 3 + 0.833 = 3.833
-0.3334x = 3.833

Divide each side by '-0.3334'.
x = -11.49670066

Simplifying
x = -11.49670066

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