.5h+.333333(h-6)=.8333333+2

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Solution for .5h+.333333(h-6)=.8333333+2 equation:


Simplifying
0.5h + 0.333333(h + -6) = 0.8333333 + 2

Reorder the terms:
0.5h + 0.333333(-6 + h) = 0.8333333 + 2
0.5h + (-6 * 0.333333 + h * 0.333333) = 0.8333333 + 2
0.5h + (-1.999998 + 0.333333h) = 0.8333333 + 2

Reorder the terms:
-1.999998 + 0.5h + 0.333333h = 0.8333333 + 2

Combine like terms: 0.5h + 0.333333h = 0.833333h
-1.999998 + 0.833333h = 0.8333333 + 2

Combine like terms: 0.8333333 + 2 = 2.8333333
-1.999998 + 0.833333h = 2.8333333

Solving
-1.999998 + 0.833333h = 2.8333333

Solving for variable 'h'.

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

Add '1.999998' to each side of the equation.
-1.999998 + 1.999998 + 0.833333h = 2.8333333 + 1.999998

Combine like terms: -1.999998 + 1.999998 = 0.000000
0.000000 + 0.833333h = 2.8333333 + 1.999998
0.833333h = 2.8333333 + 1.999998

Combine like terms: 2.8333333 + 1.999998 = 4.8333313
0.833333h = 4.8333313

Divide each side by '0.833333'.
h = 5.79999988

Simplifying
h = 5.79999988

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