Example

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

Question

$$6(x+1)=7(x-2)$$

Answer

x=20

Solution


Expand.
\[6x+6=7x-14\]
Subtract \(6x\) from both sides.
\[6=7x-14-6x\]
Simplify  \(7x-14-6x\)  to  \(x-14\).
\[6=x-14\]
Add \(14\) to both sides.
\[6+14=x\]
Simplify  \(6+14\)  to  \(20\).
\[20=x\]
Switch sides.
\[x=20\]
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