.5h+.33(h-6)=.833h+2

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Solution for .5h+.33(h-6)=.833h+2 equation:


Simplifying
0.5h + 0.33(h + -6) = 0.833h + 2

Reorder the terms:
0.5h + 0.33(-6 + h) = 0.833h + 2
0.5h + (-6 * 0.33 + h * 0.33) = 0.833h + 2
0.5h + (-1.98 + 0.33h) = 0.833h + 2

Reorder the terms:
-1.98 + 0.5h + 0.33h = 0.833h + 2

Combine like terms: 0.5h + 0.33h = 0.83h
-1.98 + 0.83h = 0.833h + 2

Reorder the terms:
-1.98 + 0.83h = 2 + 0.833h

Solving
-1.98 + 0.83h = 2 + 0.833h

Solving for variable 'h'.

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

Add '-0.833h' to each side of the equation.
-1.98 + 0.83h + -0.833h = 2 + 0.833h + -0.833h

Combine like terms: 0.83h + -0.833h = -0.003h
-1.98 + -0.003h = 2 + 0.833h + -0.833h

Combine like terms: 0.833h + -0.833h = 0.000
-1.98 + -0.003h = 2 + 0.000
-1.98 + -0.003h = 2

Add '1.98' to each side of the equation.
-1.98 + 1.98 + -0.003h = 2 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + -0.003h = 2 + 1.98
-0.003h = 2 + 1.98

Combine like terms: 2 + 1.98 = 3.98
-0.003h = 3.98

Divide each side by '-0.003'.
h = -1326.666667

Simplifying
h = -1326.666667

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