1.5h+.33(h-6)=5.20h+2

Solution for 1.5h+.33(h-6)=5.20h+2 equation:

Simplifying
1.5h + 0.33(h + -6) = 5.20h + 2

Reorder the terms:
1.5h + 0.33(-6 + h) = 5.20h + 2
1.5h + (-6 * 0.33 + h * 0.33) = 5.20h + 2
1.5h + (-1.98 + 0.33h) = 5.20h + 2

Reorder the terms:
-1.98 + 1.5h + 0.33h = 5.20h + 2

Combine like terms: 1.5h + 0.33h = 1.83h
-1.98 + 1.83h = 5.20h + 2

Reorder the terms:
-1.98 + 1.83h = 2 + 5.20h

Solving
-1.98 + 1.83h = 2 + 5.20h

Solving for variable 'h'.

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

Add '-5.20h' to each side of the equation.
-1.98 + 1.83h + -5.20h = 2 + 5.20h + -5.20h

Combine like terms: 1.83h + -5.20h = -3.37h
-1.98 + -3.37h = 2 + 5.20h + -5.20h

Combine like terms: 5.20h + -5.20h = 0.00
-1.98 + -3.37h = 2 + 0.00
-1.98 + -3.37h = 2

Add '1.98' to each side of the equation.
-1.98 + 1.98 + -3.37h = 2 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + -3.37h = 2 + 1.98
-3.37h = 2 + 1.98

Combine like terms: 2 + 1.98 = 3.98
-3.37h = 3.98

Divide each side by '-3.37'.
h = -1.181008902

Simplifying
h = -1.181008902