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8. find x k 2x - 6 l -5 + 2x m 17

Question

  1. find x

k 2x - 6 l -5 + 2x m
17

Explanation:

Step1: Set up equation

Since $KL+LM = KM$, we have $(2x - 6)+(- 5 + 2x)=17$.

Step2: Combine like - terms

$2x+2x-6 - 5=17$, which simplifies to $4x-11 = 17$.

Step3: Add 11 to both sides

$4x-11 + 11=17 + 11$, so $4x=28$.

Step4: Divide both sides by 4

$\frac{4x}{4}=\frac{28}{4}$, then $x = 7$.

Answer:

$x = 7$