Enter Equation or Inequality

Solve the following equation

0.05(3q-2)+0.25q=8.30

Solve for q

0.05(3q - 2) + 0.25q = 8.30

Simplify by removing parentheses
Simplify 0.05(3q - 2):
Distribute the 0.05 to each term in (3q-2)
0.05 * 3q = (0.05 * 3)q = 0.15q
0.05 * -2 = (0.05 * -2) = -0.1
Our Total expanded term is 0.15q-0.1

Our new term is
0.15q - 0.1 + 0.25q = 8.30

Simplify by removing parentheses
Our new term is
0.15q - 0.1 + 0.25q = 8.30

Group the q terms on the left:

(0.15 + 0.25)q = 0.4q

Form modified equation

0.4q - 0.1 = + 8.3

Divide each side by 0.15

0.15q
0.15
=
  
-0.1
0.15

Group constants

Group our constants -0.1 and 8.30.
add 0.1 to both sides

0.4q - 0.1 + 0.1 = 8.30 + 0.1

Cancel 0.1 on the left side:

0.4q = 8.4

Divide each side of the equation by 0.4

0.4q
0.4
=
  
8.4
0.4

q = 21

Final Answer


q = 21