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Question from sue, a student:

(x+7)/3 = (3xy+2x)/4 rearrange for x

Hi Sue,

I think the first step is to eliminate the fractions. If you multiply both sides by 3 then you eliminate the denominator of 3 on the left side. If you multiply both sides by 4 you eliminate the denominator of 4 on the right side. To do this in one step multiply both sides by $3 \times 4 = 12.$ That gives

\[3 \times 4 \times \frac{x + 7}{3} = 3 \times 4 \times \frac{3xy + 2x}{4}\]

Cancel the threes on the left and the fours on the right go get

\[4(x + 7) = 3(3xy + 2x)\]

Expand and then collect all the terms involving $x$ on one side of the equation and the remaining terms on the other side. Solve for $x.$

Write back if you need more assistance
Penny

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