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Exercises Equations and inequalities

Example 8.36 from Prealgebra, 8.3 Solve Equations with Variables and Constants on Both Sides

Solve Equations with Variables and Constants on Both Sides: example 8.36

Solve: $0.24 (100 x + 5) = 0.4 (30 x + 15) .$

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.

Solution

Distribute.

Subtract $12 x$ to get all the $x$ s to the left.

Simplify.

Subtract 1.2 to get the constants to the right.

Simplify.

Divide.

Simplify.

Check: Let $x = 0.4$ .

Your turn

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

Solve: $0.55 (100 n + 8) = 0.6 (85 n + 14) .$

How did it go?

PreviousSolve Equations with Variables and Constants on Both Sides: example 8.35 Next Solve Equations with Fraction or Decimal Coefficients: example 8.37

From Prealgebra (1st edition) by OpenStax (Rice University), section 8.3, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.