Example

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

Question

$$2-7x=6(5-x)$$

Answer

x=-28

Solution


Expand.
\[2-7x=30-6x\]
Subtract \(2\) from both sides.
\[-7x=30-6x-2\]
Simplify  \(30-6x-2\)  to  \(-6x+28\).
\[-7x=-6x+28\]
Add \(6x\) to both sides.
\[-7x+6x=28\]
Simplify  \(-7x+6x\)  to  \(-x\).
\[-x=28\]
Multiply both sides by \(-1\).
\[x=-28\]
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