Solve Equations with Fractions or Decimals: example 2.53

Solve: $\frac{5 x - 3}{4} = \frac{x}{2}$ .

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: $\frac{4 y - 7}{3} = \frac{y}{6}$ .

How did it go?


Multiply by the LCD, 4.
Simplify.
Collect the variables to the right.
Simplify.
Divide.
Simplify.
Check:
Let $x = 1$ .