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Solve for x in terms of the other pronumerals

ax+ b/4 = x+c/3

Solve for x in terms of the other pronumerals ax+ b/4 = x+c/3-example-1
User Pete Houston
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1 Answer

20 votes
20 votes

Answer:


  • x=\cfrac{4c-3b}{3a-4}

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Given expression


  • \cfrac{ax+b}{4}=\cfrac{x+c}{3}

Solve it for x in steps below


\cfrac{ax+b}{4}=\cfrac{x+c}{3} Given


3(ax+b)=4(x+c) Cross-multiply


3ax + 3b=4x+4c Distribute


3ax-4x=4c-3b Collect terms with x


x(3a-4)=4c-3b Factor out x


x=\cfrac{4c-3b}{3a-4} Divide both sides by 3a - 4

User Jmt
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