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Video: Solving Two-Step Linear Equations Involving Fraction Coefficients

Kathryn Kingham

If x+18/8=18/4, then find the value of x.

01:34

Video Transcript

If 𝑥 plus 18 over eight equals 18 over four, then find the value of 𝑥.

To find the value of 𝑥, we’ll need to isolate 𝑥 to get 𝑥 by itself on one side of the equation. We can start with this eight in the denominator. We’ll multiply the left side of the equation by eight over one. But if we multiply the left side of the equation by eight over one, we’ll also need to multiply the right side of the equation by the same thing.

On the left side of the equation, the eights cancel out leaving us with 𝑥 plus 18. On the right side, we’ll have 18 times eight divided by four. 18 times eight equals 144. And we’ll bring down the four. Now I can divide 144 by four; that equals 36.

We’re now left with the one step equation. We subtract 18 from both sides of the equation to get 𝑥 by itself. We’re left with 𝑥 on the left. And 36 minus 18 equals 18.

The value of 𝑥 for this equation is 18.