Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{p-7}{6}=\frac{p-8}{5}$$

Answer

p=13

Solution


Multiply both sides by \(30\) (the LCM of \(6, 5\)).
\[5(p-7)=6(p-8)\]
Expand.
\[5p-35=6p-48\]
Subtract \(5p\) from both sides.
\[-35=6p-48-5p\]
Simplify  \(6p-48-5p\)  to  \(p-48\).
\[-35=p-48\]
Add \(48\) to both sides.
\[-35+48=p\]
Simplify  \(-35+48\)  to  \(13\).
\[13=p\]
Switch sides.
\[p=13\]
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