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Exercises Equations and inequalities

Example 8.35 from Prealgebra, 8.3 Solve Equations with Variables and Constants on Both Sides

Solve Equations with Variables and Constants on Both Sides: example 8.35

Solve: $\frac{1}{2} (6 x - 2) = 5 - x .$

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.

Add $x$ to get all the variables on the left.

Simplify.

Add 1 to get constants on the right.

Simplify.

Divide by 4.

Simplify.

Check: Let $x = \frac{3}{2}$ .

Your turn

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

Solve: $\frac{1}{3} (6 u + 3) = 7 - u .$

How did it go?

PreviousSolve Equations with Variables and Constants on Both Sides: example 8.34 Next Solve Equations with Variables and Constants on Both Sides: example 8.36

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.