## Related questions with answers

Question

Solve each equation. $\frac{x}{3}-7=6-\frac{3 x}{4}$

Solution

VerifiedStep 1

1 of 2$\begin{align*} \displaystyle \frac{x}{3}-7&=6-\displaystyle \frac{3x}{4}\tag{multiply both sides with $3\cdot 4$}\\ 12\displaystyle \left(\frac{x}{3}-7\right)&=12\displaystyle \left(6-\frac{3x}{4}\right)\tag{distribute-simplify}\\ 4x-84&=72-9x\tag{add $9x+84$ to both sides}\\ 13x&=156\tag{divide by 13}\\ x&=12\end{align*}$

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