Solve Equations with Fraction or Decimal Coefficients: example 8.44

Solve: $0.25 x + 0.05 (x + 3) = 2.85 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $0.25 n + 0.05 (n + 5) = 2.95 .$

How did it go?


Distribute first.
Combine like terms.
To clear decimals, multiply by 100.
Distribute.
Subtract 15 from both sides.
Simplify.
Divide by 30.
Simplify.
Check: Let $x = 9 .$


Distribute first.
Combine like terms.
To clear decimals, multiply by 100.
Distribute.
Subtract 15 from both sides.
Simplify.
Divide by 30.
Simplify.
Check: Let $x = 9 .$