If UV = 13, VW = 3x − 5, and UW = 5x − 18, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. I got stuck here. If you could (or not) type step by step.

Since UV and VW make up UW, we can set add together UV and VW and set them equal to UW.

5x - 18 = 13 + 3x - 5

Let's combine like terms on the right side.

5x - 18 = 3x + 8

Subtract 3x from both sides and add 18 to both sides.

2x = 26

Divide both sides by 2

x = 13

We know that UW = 5x - 18. Let's plug 13 in for x.

UW = 5(13) - 18 = 65 - 18 = 47.

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~courtney