Enter Equation or Inequality

Solve the following equation

0.5h+0.05(h+7)=3.65

Solve for h

0.5h + 0.05(h + 7) = 3.65

Simplify by removing parentheses
Simplify 0.05(h + 7):
Distribute the 0.05 to each term in (h+7)
0.05 * h = (0.05 * 1)h = 0.05h
0.05 * 7 = (0.05 * 7) = 0.35
Our Total expanded term is 0.05h + 0.35

Our new term is
0.5h + 0.05h + 0.35 = 3.65

Simplify by removing parentheses
Our new term is
0.5h + 0.05h + 0.35 = 3.65

Group the h terms on the left:

(0.5 + 0.05)h = 0.55h

Form modified equation

0.55h + 0.35 = + 3.65

Divide each side by 0.5

0.5h
0.5
=
  
0.05
0.5

Group constants

Group our constants 0.35 and 3.65.
subtract 0.35 from both sides

0.55h + 0.35 - 0.35 = 3.65 - 0.35

Cancel 0.35 on the left side:

0.55h = 3.3

Divide each side of the equation by 0.55

0.55h
0.55
=
  
3.3
0.55

h = 6

Final Answer


h = 6