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find the value of x. 5 17 2x + 3 10x - 9 x = ?

Question

find the value of x. 5 17 2x + 3 10x - 9 x = ?

Explanation:

Step1: Set up proportion

$\frac{5}{17}=\frac{2x + 3}{10x - 9}$

Step2: Cross - multiply

$5(10x - 9)=17(2x + 3)$

Step3: Expand

$50x-45 = 34x+51$

Step4: Isolate x terms

$50x - 34x=51 + 45$

Step5: Simplify

$16x=96$

Step6: Solve for x

$x = 6$

Answer:

$6$