0.5h+0.333(h-6)=83.333+2

Solution for 0.5h+0.333(h-6)=83.333+2 equation:

Simplifying
0.5h + 0.333(h + -6) = 83.333 + 2

Reorder the terms:
0.5h + 0.333(-6 + h) = 83.333 + 2
0.5h + (-6 * 0.333 + h * 0.333) = 83.333 + 2
0.5h + (-1.998 + 0.333h) = 83.333 + 2

Reorder the terms:
-1.998 + 0.5h + 0.333h = 83.333 + 2

Combine like terms: 0.5h + 0.333h = 0.833h
-1.998 + 0.833h = 83.333 + 2

Combine like terms: 83.333 + 2 = 85.333
-1.998 + 0.833h = 85.333

Solving
-1.998 + 0.833h = 85.333

Solving for variable 'h'.

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

Add '1.998' to each side of the equation.
-1.998 + 1.998 + 0.833h = 85.333 + 1.998

Combine like terms: -1.998 + 1.998 = 0.000
0.000 + 0.833h = 85.333 + 1.998
0.833h = 85.333 + 1.998

Combine like terms: 85.333 + 1.998 = 87.331
0.833h = 87.331

Divide each side by '0.833'.
h = 104.8391357

Simplifying
h = 104.8391357