0.5h+0.33(h-6)=0.83+2

Solution for 0.5h+0.33(h-6)=0.83+2 equation:

Simplifying
0.5h + 0.33(h + -6) = 0.83 + 2

Reorder the terms:
0.5h + 0.33(-6 + h) = 0.83 + 2
0.5h + (-6 * 0.33 + h * 0.33) = 0.83 + 2
0.5h + (-1.98 + 0.33h) = 0.83 + 2

Reorder the terms:
-1.98 + 0.5h + 0.33h = 0.83 + 2

Combine like terms: 0.5h + 0.33h = 0.83h
-1.98 + 0.83h = 0.83 + 2

Combine like terms: 0.83 + 2 = 2.83
-1.98 + 0.83h = 2.83

Solving
-1.98 + 0.83h = 2.83

Solving for variable 'h'.

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

Add '1.98' to each side of the equation.
-1.98 + 1.98 + 0.83h = 2.83 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + 0.83h = 2.83 + 1.98
0.83h = 2.83 + 1.98

Combine like terms: 2.83 + 1.98 = 4.81
0.83h = 4.81

Divide each side by '0.83'.
h = 5.795180723

Simplifying
h = 5.795180723