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viva [34]
3 years ago
12

What is 2/3(9+x)=5(4-x)

Mathematics
2 answers:
Elza [17]3 years ago
7 0

\frac{2}{3}<span>(9+x)=<span>5(4−x)</span></span>Simplify: 
(\frac{2}{3})(9)+(\frac{2}{3})(x)=(5)(4)+(5)(−x)(Distribute)
6+\frac{2}{3}<span>x=<span>20+−5x</span></span>\frac{2}{3}<span>x+6=<span><span>−5x</span>+<span>20
</span></span></span>Step 2: Add 5x to both sides.
\frac{2}{3}x+6+5x=−5x+20+5x
\frac{17}{3}x+6=<span>20
</span>Step 3: Subtract 6 from both sides.\frac{17}{3}<span><span><span>x+6</span>−6</span>=20−6</span>\frac{17}{3}<span>x=<span>14

</span></span><span>Step 4: Multiply both sides by </span>\frac{3}{17}<span>.
</span>(\frac{3}{17} ) · (\frac{17}{3}x ) = (\frac{3}{17})·(14) 
 Answer = (\frac{42}{17}
choli [55]3 years ago
3 0
The answer should be 6. hope this helped
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